Question

Which is the standard form of the equation of a parabola with a focus of (8, 0) and directrix x = –8?​

Answer 1

ANSWER

C. is the correct answer

${y}^{2} = 32x$

EXPLANATION

The given parabola has a focus at (8,0) and directrix at x=-8.

The equation of this parabola is of the form:

${y}^{2}=4px$

Where p is the the distance from the vertex to the focus.

Since the vertex is at the origin,the distance from the vertex to the focus (8,0) is p=8.

${y}^{2} = 4(8)x$

${y}^{2} = 32x$