Hey guys. I need help with this problem.

Regan is trying to find the equation of a quadratic that has a focus of (−2, 5) and a directrix of y = 13. Describe to Regan your preferred method for deriving the equation. Make sure you use Regan's situation as a model to help her understand.

This what I have:

First, we will insert your focus and directrix into the distance formulas.

√(x2-x1^2+(y1-y2)^2= √(y2-y1)^2

Remember that the right side is derived for the directrix.

√(x2--2)^2+(y1-5)^2= √y2-13)^2

Question

Hey guys. I need help with this problem. 

Regan is trying to find the equation of a quadratic that has a focus of (−2, 5) and a directrix of y = 13. Describe to Regan your preferred method for deriving the equation. Make sure you use Regan's situation as a model to help her understand. 

This what I have:


First, we will insert your focus and directrix into the distance formulas.

 √(x2-x1^2+(y1-y2)^2= √(y2-y1)^2

Remember that the right side is derived for the directrix. 

 √(x2--2)^2+(y1-5)^2=  √y2-13)^2