Question

Write an equation for a parabola with vertex at (3,- 6) and focus at (3,- 4).

Answer 1

Given: V(3,-6), F(3,-4).

VF =1/4a = -4 -(-6).
1/4a = 2.
4a = 1/2.
a = 1/8.

Y = a(x-h)^2 + k.
Y = (1/8)(x-3)^2 -6.