Find the equation in standard form of the parabola described.
-The vertex has coordinates (0, 0), and the focus has coordinates (6, 0).
A) $y ^ { 2 } = 24 x$
B) $x ^ { 2 } = 6 y$
C) $x ^ { 2 } = 24 y$
D) $y ^ { 2 } = 6 x$

Question

Find the equation in standard form of the parabola described.
-The vertex has coordinates (0, 0), and the focus has coordinates (6, 0). 
A) $y ^ { 2 } = 24 x$
B) $x ^ { 2 } = 6 y$
C) $x ^ { 2 } = 24 y$
D) $y ^ { 2 } = 6 x$

Quizplus · Accepted Answer

The standard form of a parabola with its vertex at the origin (0, 0) and focus at (6, 0) is $y^2 = 4px$, where $p$ is the distance from the vertex to the focus. Here, $p = 6$, so the equation becomes $y^2 = 4(6)x = 24x$.

Find the Equation in Standard Form of the Parabola Described y2=24xy ^ { 2 } = 24 xy2=24x

Find the Equation in Standard Form of the Parabola Described $y ^ { 2 } = 24 x$