# Parabola Word Problem 3/31/14.

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Parabola Word Problem 3/31/14

Graphing a Parabola with vertex (h,k)
y2 – 6y -2x + 8 = 0

Graphing a Parabola with vertex (h,k)
X2 – 2x – 8y – 7 = 0

Finding the location of the receiver in a Satellite Dish.
Satellite dish is 24 feet in diameter at its opening and 4 feet deep in its center. Where should the receiver be placed?

Find the equation of a Parabolic Sound Dish.
If the parabolic sound dish the sideline crew is holding has a 2-foot diameter at the opening and the microphone is located 6 inches from the vertex, find the equation that governs the center cross section of the dish.

A satellite dish is shaped like a paraboloid of revolution
A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the dish and are reflected to a single point, where the receiver is located. If the dish is 10 feet across at its opening and is 4 feet deep at its center, at what position should the receiver be placed?

The cables of a suspension bridge are in the shape of a parabola
The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cable are 600 feet apart and 80 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 150 feet from the center of the bridge?

Homework is Worksheet!! Show work to receive credit!!