Question

Find an equation for the parabola that satisfies the given conditions. (a) vertex (0, 0); focus (8, 0).

Answer 1

The general form for this type of parabola is y^2 = 4px  where  p is the distance of the focus from the vertex.

Here p = 8 so the equation is y^2 = 4(8)x or  y^2 = 32x