Question

6 write an equation of a parabola with a vertex at the origin and a focus at (–2, 0).

Answer 1

Because the vertex of the parabola (0,0), focus is moved to the left, and x -coordinate is changed. So, it is horizontal parabola that is looking to the left.

It is horizontal parabola, so it has y².

$(y-y_{0})^{2} =4p(x-x_{0}) Coordinates of vertex are x_{0}=0 /and/ y_{0}=0 p=-2 (y-0)^{2} = 4*(-2)(x-0) \\ \\y^{2}=-8x$