Question

A.S.A.P PLEASE HELP

The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2. Which equation represents the parabola?

Answer 1

x²=-8y

Explanation:

Got it correct on Edge

Answer 2

To solve this problem yu must apply the proccedure shown below:

1. You have that the focus of the parabola is located at (0,–2) and the directrix is represented by y=2. Therefore, you have:

√(x0-0)²+(y0-(-2))²=|y-2|

2. By simplifying and clearing x², you obtain:

(√x0²+(y0+2)²)²=(y0-2)²
x0²+(y0+2)²=(y0-2)²

{ Note: x0²=x and y0=y)

x²=-8y

The answer is: x²=-8y