Find an equation of the parabola described.
-Focus at (5, 0); vertex at (0, 0)

A) $y = 20 x ^ { 2 }$
B) $x = 20 y ^ { 2 }$
C) $x ^ { 2 } = 20 y$
D) $y ^ { 2 } = 20 x$

Question

Find an equation of the parabola described.
-Focus at (5, 0); vertex at (0, 0)

A) $y = 20 x ^ { 2 }$
B) $x = 20 y ^ { 2 }$
C) $x ^ { 2 } = 20 y$
D) $y ^ { 2 } = 20 x$

Quizplus · Accepted Answer

The parabola opens to the right with the vertex at the origin (0,0) and the focus at (5,0). The standard form of a parabola that opens to the right is $y^2 = 4px$, where $p$ is the distance from the vertex to the focus. Here, $p = 5$, so the equation is $y^2 = 20x$.

Find an Equation of the Parabola Described y=20x2y = 20 x ^ { 2 }y=20x2

Find an Equation of the Parabola Described $y = 20 x ^ { 2 }$