Question

The equation of a parabola is `y^2=8x`. What are the coordinates of the vertex of the parabola?

Answer 1

Vertex: `(x,y)=(0,0)`

Explanation:

Given `y^2=8x`
then `y=+-sqrt(8x)`

If `x>0` then there are two values, one positive and one negative, for `y`.

If `x=0` then there is a single value for `y` (namely `0`).

If `x < 0` then there are no real values for `y`.