AnswersCUSD Advanced Math A 5.0Graphing Polar Equations

Graphing Polar Equations — Unit test Answers

15 verified answers2 views
1
Free Preview

What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?

A
4
B
8
C
16
D
64
2
Free Preview

Which image shows a plane slicing a double-napped cone to produce a hyperbola?

A
2 cones are stacked at their points. A horizontal plane goes through the center of a cone.
Option A
B
2 cones are stacked at their points. A plane goes diagonally through the center of a cone.
Option B
C
2 cones are stacked at their points. A plane goes diagonally along the sides of the cones.
Option C
D
2 cones are stacked at their points. A plane goes diagonally through both cones.
Option D
3

A picture frame has the shape of an ellipse defined by the equation with units in inches. A hook is placed on the back of the picture frame to hang it on the wall. The hook is located at one of the foci of the ellipse. What is the distance from the hook to the top of the picture frame?

Question illustration
A
2 in.
B
4 in.
C
6 in.
D
8 in.
4

The equation represents an ellipse.Which points are the vertices of the ellipse?

Question illustration
A
(−10, 0) and (10, 0)
B
(−2, 0) and (2, 0)
C
(0, −10) and (0, 10)
D
(0, −2) and (0, 2)
5

A mirror has a parabolic surface defined by the equation y = x2 with the vertex (0, 0) at the center of the mirror. When the width of the mirror is 8 inches, what is the depth, y, of the mirror?

Question illustration
A
in.
Option A
B
in.
Option B
C
in.
Option C
D
in.
Option D
6

Which conic section is represented by the following equation?–5x2 + 9xy + 5y2 + 6x – 4y + 11 = 0

A
circle
B
ellipse
C
parabola
D
hyperbola
7

A pair of listening posts is 4,000 ft apart. They both pick up a sound, but one listening post records the sound 1.5 seconds after the other listening post. The sound is d1 feet from the first listening post and d2 feet from the second listening post. Assume sound travels at 1,100 ft/s. Which equation of a hyperbola can be used to determine possible locations of the origin of the sound?Note that

Question illustration
A
StartFraction x squared Over 825 EndFraction minus StartFraction y squared Over 1,175 EndFraction = 1
Option A
B
StartFraction x squared Over 680,625 EndFraction minus StartFraction y squared Over 3,319,375 EndFraction = 1
Option B
C
StartFraction x squared Over 680,625 EndFraction minus StartFraction y squared Over 4,000,000 EndFraction = 1
Option C
D
StartFraction x squared Over 2,722,500 EndFraction minus StartFraction y squared Over 13,277,500 EndFraction = 1
Option D
8

Convert 9x2 + 4y2 – 54x – 8y – 59 = 0 into standard form.

A
StartFraction (x + 3) squared Over 4 EndFraction + StartFraction (y + 1) Over 9 EndFraction = 1
Option A
B
StartFraction (x minus 3) squared Over 4 EndFraction + StartFraction (y minus 1) Over 9 EndFraction = 1
Option B
C
StartFraction (x + 3) squared Over 16 EndFraction + StartFraction (y + 1) Over 36 EndFraction = 1
Option C
D
StartFraction (x minus 3) squared Over 16 EndFraction + StartFraction (y minus 1) Over 36 EndFraction = 1
Option D
9

One focus of a hyperbola is located at (−1, 7). One vertex of the hyperbola is located at (−1, 5). The center is (−1, −3).What is the equation of the hyperbola?

A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
10

Question text not available

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
11

An ellipse has a center at the origin, a vertex along the major axis at (20, 0), and a focus at (16, 0). The equation of the ellipse is in the form below.

Question illustration
A
12
B
16
C
20
D
24
12

The graph of an ellipse is shown.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

The equation represents a hyperbola centered at the origin with a focus of (0,-10). What is the value of b?

Question illustration
A
4
B
6
C
10
D
12
14

Yeric designs a circular cushion by cutting pieces of fabric to sew together as the front and back of the cushion. He cuts each piece of fabric according to the equation x2 + y2 = 100 with units in inches. Based on this equation, what is the diameter of the cushion?

A
5 in.
B
10 in.
C
20 in.
D
100 in.
15

Which equation represents a parabola with its vertex at (1, –5) and its focus at (1, 0)?

A
= (x – 1)2
Option A
B
20(y + 5) = (x – 1)2
C
–20(y + 5) = (x – 1)2
D
= (x – 1)2
Option D

Did you find these answers helpful?

More from this Course

Quiz
14 verified answers

Unit Test

Quiz
1 verified answers

Unit Test

Assignment
15 verified answers

Graphing Polar Equations