Question

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9). I need help

Answer 1

From the given data: vertex at the origin and a focus at (0, 9), the parabola should be facing upwards. In this case, the length of the latus rectum is 9 units which is a. Hence the equation becomes y = 4 (9) x^2. The equation is equal to y = 36 x^2. The standard form is 36 x^2 - y = 0.