Question

A satellite television receiver is a parabolic dish with an equation of y=1/32 x^2

Answer 1

Explanation:

The equation of a parabola that relates it focus is

`{x}^(2) = 4py`

So here, we isolate x^2.

`y = (1)/(32) {x}^(2)`

`32y = {x}^(2)`

Next, we factor out 4.

`{x}^(2) = 4(8)(y)`

Our p=8 so this tells us the distance of the vertex to the focus.