Write an equation for the parabola with vertex at the origin.
-Through (8, 8), symmetric with respect to the y-axis
A) $y ^ { 2 } = 8 x$
B) $x = - 8 y ^ { 2 }$
C) $y = 8 x ^ { 2 }$
D) $x ^ { 2 } = 8 y$

Question

Quizplus · Accepted Answer

The parabola is symmetric with respect to the y-axis, so it must be of the form $x^2 = 4py$. Given the point (8, 8), substituting into the equation gives $8^2 = 4p(8)$, solving for p gives $p = 2$, so the equation is $x^2 = 8y$.

Write an Equation for the Parabola with Vertex at the Origin