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Ch8 Full Test Bank Conics And Systems Of Nonlinear Equations

College Algebra, 5e (Young)

Chapter 8 Conics and Systems of Nonlinear Equations and Inequalities

8.3 The Ellipse

1) Find the standard form of the equation of an ellipse with foci (-3, 0) and (3, 0) and vertices (-5, 0) and (5, 0).

A) ((x) with superscript (2)/25) + ((y) with superscript (2)/16) = 1

B) ((x) with superscript (2)/16) + ((y) with superscript (2)/25) = 1

C) ((x) with superscript (2)/25) + ((y) with superscript (2)/34) = 1

D) ((x) with superscript (2)/34) + ((y) with superscript (2)/25) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the origin.

2) Find the standard form of the equation of an ellipse with foci (0, -9) and (0, 9) and vertices (0, -10) and (0, 10).

A) ((x) with superscript (2)/181) + ((y) with superscript (2)/100) = 1

B) ((x) with superscript (2)/100) + ((y) with superscript (2)/19) = 1

C) ((x) with superscript (2)/19) + ((y) with superscript (2)/100) = 1

D) ((x) with superscript (2)/100) + ((y) with superscript (2)/181) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the origin.

3) Find the standard form of the equation of an ellipse with foci (-2, 0) and (2, 0) and vertices (-5, 0) and (5, 0).

A) ((x) with superscript (2)/21) + ((y) with superscript (2)/25) = 1

B) ((x) with superscript (2)/25) + ((y) with superscript (2)/21) = 1

C) ((x) with superscript (2)/25) + ((y) with superscript (2)/29) = 1

D) ((x) with superscript (2)/29) + ((y) with superscript (2)/25) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the origin.

4) Find the standard form of the equation of an ellipse with foci (0, -1) and (0, 1) and vertices (0, -3) and (0, 3).

A) ((x) with superscript (2)/9) + ((y) with superscript (2)/10) = 1

B) ((x) with superscript (2)/10) + ((y) with superscript (2)/9) = 1

C) ((x) with superscript (2)/9) + ((y) with superscript (2)/8) = 1

D) ((x) with superscript (2)/8) + ((y) with superscript (2)/9) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the origin.

5) Find the standard form of the ellipse with the following equation.

9(x) with superscript (2) + 25(y) with superscript (2) - 54x - 150y = -81

A) (((x - 3)) with superscript (2)/25) + ((( y + 3)) with superscript (2)/9) = 1

B) (((x - 3)) with superscript (2)/25) + ((( y - 3)) with superscript (2)/9) = 1

C) (((x - 3)) with superscript (2)/9) + ((( y + 3)) with superscript (2)/25) = 1

D) (((x + 3)) with superscript (2)/9) + ((( y - 3)) with superscript (2)/25) = 1

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the point (h, k).

6) Find the standard form of the ellipse with the following equation.

9(x) with superscript (2) + 16(y) with superscript (2) + 108x + 160y = -580

A) (((x + 6)) with superscript (2)/16) + ((( y + 5)) with superscript (2)/9) = 1

B) (((x - 6)) with superscript (2)/16) + ((( y - 5)) with superscript (2)/9) = 1

C) (((x + 6)) with superscript (2)/9) + ((( y + 5)) with superscript (2)/16) = 1

D) (((x + 5)) with superscript (2)/16) + ((( y + 6)) with superscript (2)/9) = 1

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the point (h, k).

7) Find the standard form of the ellipse with the following equation.

36(x) with superscript (2) + 9(y) with superscript (2) - 216x + 108y = -324

A) (((x - 3)) with superscript (2)/36) + ((( y + 6)) with superscript (2)/9) = 1

B) (((x + 3)) with superscript (2)/9) + ((( y - 6)) with superscript (2)/36) = 1

C) (((x - 3)) with superscript (2)/9) + ((( y + 6)) with superscript (2)/36) = 1

D) (((x + 3)) with superscript (2)/36) + ((( y - 6)) with superscript (2)/9) = 1

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the point (h, k).

8) Find the standard form of the ellipse with the following equation.

9(x) with superscript (2) + 16(y) with superscript (2) + 108x + 96y = -324

A) (((x - 6)) with superscript (2)/9) + ((( y - 3)) with superscript (2)/16) = 1

B) (((x + 6)) with superscript (2)/9) + ((( y + 3)) with superscript (2)/16) = 1

C) (((x - 6)) with superscript (2)/16) + ((( y - 3)) with superscript (2)/9) = 1

D) (((x + 6)) with superscript (2)/16) + ((( y + 3)) with superscript (2)/9) = 1

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the point (h, k).

9) Find the standard form of the equation of an ellipse with foci (5, 0) and (-5, 0), and vertices (7, 0) and (-7, 0).

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the origin.

10) Find the standard form of the ellipse with the following equation.

16(x) with superscript (2) + 36(y) with superscript (2) - 64x - 144y - 368 = 0

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the point (h, k).

11) Graph the ellipse.

An equation reads, x squared plus y squared equals 25.

A circle of radius 5 is graphed on an x y coordinate plane. Both the axes range from negative 6 to 6, in increments of 1. The circle is centered at the origin.

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

12) Find the standard form of the equation of the ellipse with the given graph.

A circle of radius 3 is graphed on an x y coordinate plane. Both the axes range from negative 4 to 4, in increments of 1. The circle is centered at the origin.

An equation reads, x squared plus y squared equals 9.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

13) Graph the ellipse.

An equation reads, x squared plus (y squared over 9) equals 1.

A)

A vertical ellipse is centered at the origin of an x y coordinate plane. Both the axes range from negative 4 to 4, in increments of 1. The ellipse passes through (negative 1, 0), (0, 3), (1, 0), and (0, negative 3).

B)

A vertical ellipse is centered at the origin of an x y coordinate plane. Both the axes range from negative 5 to 5, in increments of 1. The ellipse passes through (negative 1, 0), (0, 4), (1, 0), and (0, negative 4).

C)

A vertical ellipse is centered at the origin of an x y coordinate plane. Both the axes range from negative 6 to 6, in increments of 1. The ellipse passes through (negative 1, 0), (0, 5), (1, 0), and (0, negative 5).

D)

A vertical ellipse is centered at the origin of an x y coordinate plane. Both the axes range from negative 3 to 3, in increments of 1. The ellipse passes through (negative 1, 0), (0, 2), (1, 0), and (0, negative 2).

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

14) Graph the ellipse.

An equation reads, (left parenthesis x plus 3 right parenthesis squared over 16) plus left parenthesis y minus 2 right parenthesis squared equals 1.

A horizontal ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 8 to 2 in increments of 1. The y axis ranges from negative 2 to 6 in increments of 1. The ellipse is centered at (negative 3, 2) and passes through (negative 7, 2), (negative 3, 3), (1, 2), and (negative 3, 1).

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

15) Graph the ellipse.

An equation reads, 4 times left parenthesis x plus 2 right parenthesis squared plus 25 times left parenthesis y minus 1 right parenthesis squared equals 100.

A horizontal ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 10 to 6 in increments of 1. The y axis ranges from negative 6 to 6 in increments of 4. The ellipse is centered at (negative 2, 1) and passes through (negative 7, 1), (negative 2, 3), (3, 1), and (negative 2, negative 1).

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

16) Graph the ellipse.

An equation reads, 25 x squared plus 4 y squared plus 100 x minus 8 y plus 4 equals 0.

A vertical ellipse is graphed on an x y coordinate plane. Both the axes range from negative 6 to 6, in increments of 1. The ellipse is centered at (negative 2, 1) and passes through (negative 4, 1), (negative 2, 6), (0, 1), and (negative 4, negative 2).

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

17) Graph the ellipse.

An equation reads, (left parenthesis x minus 1 right parenthesis squared over 9) plus left parenthesis y minus 1 right parenthesis squared equals 1.

A)

A horizontal ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 8 in increments of 1. The y axis ranges from negative 2 to 4 in increments of 1. The ellipse is centered at (1, 1) and passes through (negative 2, 1), (1, 2), (4, 1), and (1, 0).

B)

A vertical ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 4, in increments of 0.5. The y axis ranges from negative 4 to 6, in increments of 0.5. The ellipse is centered at (negative 1, 1) and passes through (negative 2, 1), (negative 1, 4), (0, 1), and (negative 1, negative 2). All values are estimated.

C)

A horizontal ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 6 in increments of 1. The y axis ranges from negative 4 to 2 in increments of 1. The ellipse is centered at (1, negative 1) and passes through (negative 2, negative 1), (1, 0), (4, negative 1), and (1, negative 2).

D)

A vertical ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 4, in increments of 0.5. The y axis ranges from negative 4 to 6, in increments of 0.5. The ellipse is centered at (1, 1) and passes through (0, 1), (1, 4), (2, 1), and (1, negative 2). All values are estimated.

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

18) Graph the ellipse.

An equation reads, 9 left parenthesis x minus 2 right parenthesis squared plus 4 left parenthesis y plus 3 right parenthesis squared equals 36.

A)

A vertical ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 8, in increments of 1. The y axis ranges from negative 8 to 2, in increments of 0.5. The ellipse is centered at (2, negative 3) and passes through (0, negative 3), (2, 0), (4, negative 3), and (2, negative 6). All values are estimated.

B)

A horizontal ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 8, in increments of 1. The y axis ranges from negative 8 to 4, in increments of 1. The ellipse is centered at (2, negative 3) and passes through (negative 1, negative 3), (2, negative 1), (5, negative 3), and (2, negative 5). All values are estimated.

C)

A vertical ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 8 to 4, in increments of 1. The y axis ranges from negative 4 to 8, in increments of 1. The ellipse is centered at (negative 3, 2) and passes through (negative 5, 2), (negative 3, 5), (negative 1, 2), and (negative 3, negative 1). All values are estimated.

D)

A horizontal ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 8 to 4, in increments of 1. The y axis ranges from negative 4 to 8, in increments of 1. The ellipse is centered at (negative 3, 2) and passes through (negative 6, 2), (negative 3, 4), (0, 2), and (negative 3, 0). All values are estimated.

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

19) Graph the ellipse.

An equation reads, 4 x squared plus 25 y squared plus 16 x minus 50 y minus 59 equals 0.

A)

A horizontal ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 10 to 6, in increments of 1. The y axis ranges from negative 6 to 6, in increments of 1. The ellipse is centered at (negative 2, 1) and passes through (negative 7, 1), (negative 2, 3), (3, 1), and (negative 2, negative 1). All values are estimated.

B)

A vertical ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 6 to 6, in increments of 1. The y axis ranges from negative 8 to 8, in increments of 1. The ellipse is centered at (1, negative 2) and passes through (negative 1, negative 2), (1, 3), (3, negative 2), and (1, negative 7). All values are estimated.

C)

A horizontal ellipse is graphed on an x y coordinate plane. Both the axes ranges from negative 6 to 6, in increments of 1. The ellipse is centered at (1, negative 2) and passes through (negative 4, negative 2), (1, 0), (6, negative 2), and (1, negative 4). All values are estimated.

D)

A vertical ellipse is graphed on an x y coordinate plane. Both the axes ranges from negative 6 to 6, in increments of 1. The ellipse is centered at (negative 2, 1) and passes through (negative 4, 1), (negative 2, 6), (0, 1), and (negative 2, negative 4). All values are estimated.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

20) Match the ellipse to the equation.

A horizontal ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 8, in increments of 1. The y axis ranges from negative 2 to 6, in increments of 0.5. The ellipse is centered at (2, 3) and passes through (negative 2, 3), (2, 4), (6, 3), and (2, 2). All values are estimated.

A)

An equation reads, start fraction left parenthesis x minus 2 right parenthesis squared over 16 end fraction plus left parenthesis y minus 3 right parenthesis squared equals 1.

B)

An equation reads, left parenthesis x minus 2 right parenthesis squared plus start fraction left parenthesis y minus 3 right parenthesis squared over 16 end fraction equals 1.

C)

An equation reads, start fraction left parenthesis x plus 3 right parenthesis squared over 16 end fraction plus left parenthesis y minus 2 right parenthesis squared equals 1.

D)

An equation reads, left parenthesis x plus 3 right parenthesis squared plus start fraction left parenthesis y minus 2 right parenthesis squared over 16 end fraction equals 1.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

21) Match the ellipse to the equation.

A horizontal ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 8, in increments of 1. The y axis ranges from negative 2 to 6, in increments of 0.5. The ellipse is centered at (2, 3) and passes through (negative 2, 3), (2, 4), (6, 3), and (2, 2). All values are estimated.

A)

An equation reads, left parenthesis x minus 2 right parenthesis squared plus 16 left parenthesis y minus 3 right parenthesis squared equals 16.

B)

An equation reads, 16 left parenthesis x minus 2 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 16.

C)

An equation reads, left parenthesis x plus 3 right parenthesis squared plus 16 left parenthesis y minus 2 right parenthesis squared equals 16.

D)

An equation reads, 16 left parenthesis x plus 3 right parenthesis squared plus left parenthesis y minus 2 right parenthesis squared equals 16.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

22) Match the ellipse to the equation.

A vertical ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 6 to 2, in increments of 0.5. The y axis ranges from negative 4 to 2, in increments of 0.5. The ellipse is centered at (negative 2, negative 1) and passes through (negative 3, negative 1), (negative 2, 1), (negative 1, negative 1), and (negative 2, negative 3). All values are estimated.

A)

An equation reads, 4 x squared plus y squared plus 16 x plus 2 y plus 13 equals 0.

B)

An equation reads, x squared plus 4 y squared minus 2 x minus 16 y plus 13 equals 0.

C)

An equation reads, 4 x squared plus y squared minus 8 x minus 4 y plus 4 equals 0.

D)

An equation reads, x squared plus 4 y squared plus 4 x plus 8 y plus 4 equals 0.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

23) Find the standard form of the equation of the ellipse with the given graph.

A vertical ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 4 to 4, in increments of 0.5. The y axis ranges from negative 4 to 6, in increments of 0.5. The ellipse is centered at (negative 1, 1) and passes through (negative 2, 1), (negative 1, 4), (0, 1) and (negative 1, 2). All values are estimated.

An equation reads, left parenthesis x plus 1 right parenthesis squared plus start fraction left parenthesis y minus 1 right parenthesis squared over 9 end fraction equals 1.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

24) Find the general form of the equation of the ellipse with the given graph.

A horizontal ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 8 to 4, in increments of 1. The y axis ranges from negative 4 to 8, in increments of 1. The ellipse is centered at (negative 3, 2) and passes through (negative 5, 2), (negative 3, 4), (0, 2) and (negative 3, 0). All values are estimated.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

25) Find the equation of the ellipse with the given graph.

A horizontal ellipse is graphed on an x y coordinate plane. The x axis ranges from negative 6 to 6, in increments of 1. The y axis ranges from negative 6 to 6, in increments of 1. The ellipse is centered at (1, negative 2) and passes through (negative 4, negative 2), (1, 0), (6, negative 2) and (1, negative 4). All values are estimated.

Write the equation in standard form.

Diff: 3 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Graph an ellipse given the center, major axis, and minor axis.

26) Find the equation of the ellipse with the following properties: major axis vertical with length of 172, minor axis length of 128 and centered at (-6, 8).

A) (((x + 6)) with superscript (2)/4096) + ((( y - 8)) with superscript (2)/7396) = 1

B) (((x - 6)) with superscript (2)/4096) + ((( y + 8)) with superscript (2)/7396) = 1

C) (((x + 6)) with superscript (2)/7396) + ((( y - 8)) with superscript (2)/4096) = 1

D) (((x - 8)) with superscript (2)/4096) + ((( y + 6)) with superscript (2)/7396) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the point (h, k).

27) Find the standard form of the equation of an ellipse with vertices (-6, 0) and (6, 0) and minor axis (0, -5) and (0, 5).

A) ((x) with superscript (2)/36) + ((y) with superscript (2)/25) = 1

B) ((x) with superscript (2)/25) + ((y) with superscript (2)/36) = 1

C) ((x) with superscript (2)/36) + ((y) with superscript (2)/61) = 1

D) ((x) with superscript (2)/36) + ((y) with superscript (2)/11) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the origin.

28) Find the standard form of the equation of an ellipse with vertical major axis of length 12 and endpoints of minor axis (-3, 0) and (3, 0).

A) ((x) with superscript (2)/37) + ((y) with superscript (2)/36) = 1

B) ((x) with superscript (2)/36) + ((y) with superscript (2)/9) = 1

C) ((x) with superscript (2)/9) + ((y) with superscript (2)/36) = 1

D) ((x) with superscript (2)/36) + ((y) with superscript (2)/37) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the origin.

29) Find the standard form of the equation of an ellipse with horizontal major axis with length 16 and endpoints of minor axis (0, -5) and (0, 5).

A) ((x) with superscript (2)/25) + ((y) with superscript (2)/64) = 1

B) ((x) with superscript (2)/64) + ((y) with superscript (2)/25) = 1

C) ((x) with superscript (2)/64) + ((y) with superscript (2)/113) = 1

D) ((x) with superscript (2)/113) + ((y) with superscript (2)/64) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the origin.

30) Find the standard form of the equation of an ellipse with vertices (0, -8) and (0, 8) and minor axis (-3, 0) and (3, 0).

A) ((x) with superscript (2)/64) + ((y) with superscript (2)/100) = 1

B) ((x) with superscript (2)/100) + ((y) with superscript (2)/64) = 1

C) ((x) with superscript (2)/64) + ((y) with superscript (2)/9) = 1

D) ((x) with superscript (2)/9) + ((y) with superscript (2)/64) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the origin.

31) Find the standard form of the equation of an ellipse with foci (0, 1) and (10, 1) and vertices (-3, 1) and (13, 1).

A) (((x - 5)) with superscript (2)/64) + ((( y - 1)) with superscript (2)/39) = 1

B) (((x - 1)) with superscript (2)/64) + ((( y - 5)) with superscript (2)/39) = 1

C) (((x - 5)) with superscript (2)/39) + ((( y - 1)) with superscript (2)/64) = 1

D) (((x + 5)) with superscript (2)/64) + ((( y + 1)) with superscript (2)/39) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the point (h, k).

32) Find the standard form of the equation of an ellipse with foci (4, 3) and (4, 7) and vertices (4, -1) and (4, 11).

A) (((x + 4)) with superscript (2)/32) + ((( y + 5)) with superscript (2)/36) = 1

B) (((x - 4)) with superscript (2)/36) + ((( y - 5)) with superscript (2)/32) = 1

C) (((x - 4)) with superscript (2)/32) + ((( y - 5)) with superscript (2)/36) = 1

D) (((x - 5)) with superscript (2)/32) + ((( y - 4)) with superscript (2)/36) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the point (h, k).

33) Find the standard form of the equation of an ellipse with vertices (-7, 2) and (9, 2) and minor axis (1, -2) and (1, 6).

A) (((x - 1)) with superscript (2)/64) + ((( y - 2)) with superscript (2)/16) = 1

B) (((x - 2)) with superscript (2)/64) + ((( y - 1)) with superscript (2)/16) = 1

C) (((x - 1)) with superscript (2)/16) + ((( y - 2)) with superscript (2)/64) = 1

D) (((x + 1)) with superscript (2)/64) + ((( y + 2)) with superscript (2)/16) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the point (h, k).

34) Find the standard form of the equation of an ellipse with vertical major axis with length 18 and minor axis of length 10 centered at (1, 5).

A) (((x + 1)) with superscript (2)/25) + ((( y + 5)) with superscript (2)/81) = 1

B) (((x - 1)) with superscript (2)/81) + ((( y - 5)) with superscript (2)/25) = 1

C) (((x - 1)) with superscript (2)/25) + ((( y - 5)) with superscript (2)/81) = 1

D) (((x - 5)) with superscript (2)/25) + ((( y - 1)) with superscript (2)/81) = 1

Diff: 2 Var: 1

Chapter/Section: Ch 08, Sec 03

Learning Objective: Find the equation of an ellipse centered at the point (h, k).

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DOCX
Chapter Number:
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Created Date:
Aug 21, 2025
Chapter Name:
Chapter 8 Conics And Systems Of Nonlinear Equations And Inequalities
Author:
Cynthia Y. Young

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