Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. directrix: x = -5 A)y² = 20x B)y² = -5x C)x² = -20y D)x² = -5y E)x² = 20y

Question

Quizplus · Accepted Answer

The standard form of a parabola with its vertex at the origin and a horizontal directrix (x = -5) is $y^2 = 4px$, where $p$ is the distance from the vertex to the directrix. Here, $p = 5$, so the equation is $y^2 = 20x$.

Find the Standard Form of the Equation of the Parabola