Which equation shows the x-intercept(s) of the parabola as constants or coefficients?

Question

Parabola D in the xy-plane has equation

x² - 2y² - 8y - 11 = 0

A) x = 2y² + 8y + 11

B) x = 2(y+2)² + 3

C) x - 3 = 2(y+2)²

D) y = - {√(x - 3)/2} - 2

Answer 1

I infer that the equation was meant to be:

x - 2y² - 8y - 11 = 0

If you rearrange it, you get:

x = 2y² + 8y + 11

This is a parabola that opens to the right.

"x intercepts" means that the function crosses the x axis, which then means that y = 0. There is only one x intercept at x = 11. Thus I assume that the answer is A) (For y = 0, x = 11)