Unit Test — Unit test

Question 1

What are the foci of the hyperbola whose equation is = 1?

Revolt · Accepted Answer

(−4, 2) and (12, 2)

Question 2

Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by , where x and y are measured in inches. Where is the focus of the flashlight?

Revolt · Accepted Answer

(–2, –0.5)

Question 3

Question 3

Revolt · Accepted Answer

x = −3.25 and x = 9.25 ✓ Correct

Question 4

The graph of a hyperbola is shown.

Revolt · Accepted Answer

(0, −4)

Question 5

Question 5

Revolt · Accepted Answer

points G and H ✓ Correct

Question 6

Aramis is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by , where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. Where should the feed antenna be placed?

Revolt · Accepted Answer

0.75 in. above the vertex ✓ Correct

Question 7

Question 7

Revolt · Accepted Answer

(1, 3)

Question 8

The center of a hyperbola is located at the origin. One focus is located at (0, 20), and its associated directrix is represented by the line y = . What is the equation of the hyperbola?

Revolt · Accepted Answer

= 1

Question 9

Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. The vertex of the parabola is at the origin. Where should Gabe place the bulb to ensure a perfect beam of light?

Revolt · Accepted Answer

(0, 1)

Question 10

Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = –2?

Revolt · Accepted Answer

✓ Correct

Unit Test — Unit test Answers

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