help with my exasm PLEASSE

Question

Write the equation in standard form for the parabola with the vertex at the origin and directrix y=−1/36

Answer 1

By simply looking at the directrix, the parabola is open up. Therefore we can use this equation form:

y = 4 p x²

p is the distance from the vertex to the directrix, or from vertex to focus. p has positive value because the parabola is open up.

y = 4 (1/36) x²

y = (4/36) x²

Reduce the fraction:

y = (1/9) x²