Which equation represents a parabola opening to the right with a vertex at the origin and a focus at (9, 0)

Answer 1

The equation that represents a parabola opening to the right with a vertex at the origin and a focus at (9, 0) is:
(x - h)^2 = 4p(y - k), where (h, k) = (0, 0) (coordinates of the vertex) and p represents the distance between the vertex and the focus.

Plug in the values:
(x - 0)^2 = 4p(y - 0)

Simplify:
x^2 = 4py

Since the vertex is at the origin, this equation becomes:
x^2 = 4py