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
