Answer:
Explanation:
This is a horizontal parabola opening to the right, with vertex at (-2,0) and directrix at x = -4 (which is to the left of the vertex). The general equation of such a parabola is 4p(x-h) = (y-k)^2, where p is the number of horizontal units between directrix and vertex; here this quantity is 2.
Substituting known values into the general equation, we get:
4(2)(x+2) = (y-0)^2, or 8(x+2) = y^2.
Check: does (-2,0) satisfy the above equation (as it must)? 8(-2+2) = 0^2 YES.