AnswersPrecalculusEquations of Hyperbolas

Equations of Hyperbolas — Unit test Answers

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Which is the equation of a parabola with vertex (0, 0), that opens to the left and has a focal width of 12?a.c.b.d.

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A
A
B
B
C
C
D
D
2
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Find the equation of the circle with center at (3, -2) and radius of 3.a.c.b.d.

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A
A
B
B
C
C
D
D
3

Write the equation of a parabola with focus of (1,-2) and vertex at (9,-2).a.c.b.d.

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A
A
B
B
C
C
D
D
4

Samara is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by where x and y are modeled in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

Question illustration
A
(–3, –6)
B
(–3, –4)
C
(3, 6)
D
(6, 3)
5

Which is the equation of an asymptote of the hyperbola whose equation is = 1?

Question illustration
A
y = −3x − 5
B
y = −3x − 7
C
y = 3x − 5
D
y = 3x + 7
6

What is the positive slope of the asymptote of = 1? The positive slope of the asymptote is .

Answer not available
7

Find the center and radius of the circle with the equation:

Question illustration
A
center: (5, -2)radius: 5
B
center: (5, -2)radius: 25
C
center: (-5, 2)radius: 5
D
center: (-5, 2)radius: 25
8

Which features describe the graph of =1? Select two options.a focus at (104, 0)a focus at (0,−96)a vertex at (−40, 0)a vertex at (0, 96)the center at (0, 0)

Question illustration
A
a focus at (104, 0)
B
a focus at (0,−96)
C
a vertex at (−40, 0)
D
a vertex at (0, 96)
E
the center at (0, 0)
9

The graph of a hyperbola is shown.

Question illustration
A
9 units
B
12 units
C
18 units
D
24 units
10

Question text not available

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

Question text not available

Question illustration
A
x = −4.6 and x = 4.6
B
x = −3.5 and x = 3.5
C
y = −4.6 and y = 4.6
D
y = −3.5 and y = 3.5
12

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)
13

The foci and the vertices of the hyperbola are labeled.

Question illustration
A
= 1
Option A
B
= 1
Option B
C
= 1
Option C
D
= 1
Option D
14

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
15

Find the equation of a parabola with vertex (2, -1), opens upward and has focal width of 16.

Answer not available

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