Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin.
Focus: (-4,0)

A) $y ^ { 2 } = - 16 x$
B) $$y ^ { 2 } = 16 x$$
C) $$x ^ { 2 } = - 16 y$$
D) $x ^ { 2 } = - 16 y$
E) $y ^ { 2 } = - \frac { x } { 16 }$

Question

Find the standard form of the equation of the parabola with the given characteristic(s)and vertex at the origin. ​
Focus: (-4,0)
​
A) $y ^ { 2 } = - 16 x$
B) $$y ^ { 2 } = 16 x$$
C) $$x ^ { 2 } = - 16 y$$
D) $x ^ { 2 } = - 16 y$
E) $y ^ { 2 } = - \frac { x } { 16 }$

Quizplus · Accepted Answer

The standard form of a parabola with its vertex at the origin and focus to the left is $y^2 = -4px$, where $p$ is the distance from the vertex to the focus. Here, $p = 4$, so the equation is $y^2 = -16x$.

Find the Standard Form of the Equation of the Parabola y2=−16xy ^ { 2 } = - 16 xy2=−16x

Find the Standard Form of the Equation of the Parabola $y ^ { 2 } = - 16 x$