Find the standard form of the parabola with the given characteristic and vertex at the origin.focus: (0, 9) A)x² = 36y B)x² = 9y C)x² = -9y D)y² = 36x E)y² = 9x

Question

Quizplus · Accepted Answer

The standard form of a parabola with its vertex at the origin and focus along the y-axis is $x^2 = 4py$, where $p$ is the distance from the vertex to the focus. Given the focus is at (0, 9), $p = 9$, thus $4p = 36$, making the equation $x^2 = 36y$.

Find the Standard Form of the Parabola with the Given