# Geometry - Finding the Focus of a Parabolic Dish

A satellite dish, is the shape of a parabola. Signals coming from a satellite strike the surface of the dish and are reflected to the focus where the receiver is located. The satellite dish has a diameter of 12 ft and a depth of 2 ft.

If the diameter of the dish is halved how far from the base of the dish should the receiver be placed?

https://brainmass.com/math/geometry-and-topology/geometry-finding-focus-parabolic-dish-241394

#### Solution Preview

Let the equation of the parabolic satellite dish be y^2 = 4ax

The new diamater of the dish is 6 ft. ...

#### Solution Summary

This solution contains step-by-step calculations to determine how far the receiver should be placed from the base of the dish.

$2.19