Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Horizontal axis and passes through the point

Question

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. ​
Horizontal axis and passes through the point  ​

Quizplus · Accepted Answer

Since the parabola has a horizontal axis and its vertex at the origin, its standard form equation is of the form $y^2=4px$ where $p$ is the distance from the vertex to the focus. Since the parabola passes through the point $(11,0)$, which is $11$ units away from the vertex, we have $p=11/4$. Substituting this into the equation for the standard form gives $y^2=11x$, which matches choice C.

Find the Standard Form of the Equation of the Parabola