Write the equation of a parabola with a vertex at the origin and a focus at (4, 0).

Answer 1

V(0,0), F(4,0).
VF = 1/4a = 4-0 = 4
1/4a = 4
4a = 1/4
a = 1/16.

Vertex Form: X = a(y-k)^2 + h.
X = 1/16(y-0)^2 + 0
X = (1/16)y^2 = y^2/16.

Answer 2

find the general equation of the parabola with vertex at the origin and focus at (-4,0)