Conic algebra

Question

Find an equation for the parabola with the focus (8,6) and directrix the y axis.

Answer 1

So, it opens to the right.

 

4p(x - h) = (y - k)²

4(8)(x - 8) = (y - 6)²

32x - 256 = y² - 12y + 36

32x = y² - 12y + 288

x = (1/32)y² - (3/8)y + 9