SOLUTION: Hi, I'm having a hard time understanding how to do the equation conversion of given points on a parabola like the focus and vertex into an equation. The given points are: ve

Question 603659: Hi, I'm having a hard time understanding how to do the equation conversion of given points on a parabola like the focus and vertex into an equation.
The given points are:
vertex (8,6)/ Focus (8,1)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Hi, I'm having a hard time understanding how to do the equation conversion of given points on a parabola like the focus and vertex into an equation.
The given points are:
vertex (8,6)/ Focus (8,1)
-----
Plot the 2 points and you will see the parabola must be opening downward
---
Form:
(x-h)^2 = 4p(y-k)
h = 8 ; k = 6
p = 1-6 = -5
4p = -20
----
Equation:
(x-8)^2 = -20(y-6)
---
x^2-16x+64 = -20y+120
20y = -x^2+16x+54
y = (-1/20)x^2+(4/5)x+2.7
===============================

================================
Cheers,
Stan H.
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