Find the standard form of the equation of the parabola.
-Vertex at the origin, focus at $( 0,4 )$
A) $y = \frac { 1 } { 16 } x ^ { 2 }$
B) $y ^ { 2 } = 16 x$
C) $y ^ { 2 } = 4 x$
D) $y = \frac { 1 } { 4 } x ^ { 2 }$

Question

Quizplus · Accepted Answer

The standard form of a parabola with its vertex at the origin and focus at (0,4) is $y = \frac{1}{4p}x^2$, where $p$ is the distance from the vertex to the focus, which is 4 in this case. Substituting $p = 4$ gives $y = \frac{1}{16}x^2$.

Find the Standard Form of the Equation of the Parabola (0,4)( 0,4 )(0,4)

Find the Standard Form of the Equation of the Parabola $( 0,4 )$