AnswersPrecalculusEquations of Hyperbolas

Equations of Hyperbolas — Unit test Answers

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21
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On a coordinate plane, a circle has a center at (1, negative 2) and a radius of 4 units.

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A
(x – 1)2 + (y + 1)2 = 16
B
(x – 1)2 + (y + 1)2 = 4
C
(x + 1)2 + (y –1)2 = 4
D
(x + 1)2 + (y – 1)2 = 16
22
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Which is a true statement comparing the graphs of = 1 and = 1?

Question illustration
A
The foci of both graphs are the same points.
B
The lengths of both transverse axes are the same.
C
The directrices of = 1 are horizontal while the directrices of = 1 are vertical.
Option C
D
The vertices of are on the y-axis while the vertices of are on the x-axis.
Option D
23

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

Question illustration
A
(−16, −6) and (14, −6)
B
(−10, −6) and (8, −6)
C
(−1, −18) and (−1, 6)
D
(−1, −15) and (−1, 3)
24

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

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