AnswersCollege Prep Math B - IC26Conic Sections: Parabolas

Applications of Conics Answers

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A serving dish has a parabolic surface with the vertex (0, 0) at the center of the dish. When the width of the dish is 6 inches, the depth of the dish is 3 inches. The equation that models the shape of the serving dish is y = ax2. What is the value of a?

A
StartFraction 1 Over 12 EndFraction
Option A
B
One-third
Option B
C
One-half
Option C
D
1
2
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A mirror is the shape of an ellipse defined by with units in feet. Which statement identifies the orientation of the mirror and its greatest dimension?

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A
The mirror has a vertical orientation and is 5.4 ft tall.
B
The mirror has a horizontal orientation and is 5.4 ft wide.
C
The mirror has a vertical orientation and is 7.29 ft tall.
D
The mirror has a horizontal orientation and is 7.29 ft wide.
3

The profile of a dam is modeled by the equation , where x represents horizontal distance and y represents height, both in meters. Review the diagram of the dam.

Question illustration
A
24 meters
B
36 meters
C
54 meters
D
72 meters

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