Parabola and Line Intersection Points

Here is the problem:

**A graphic designer draws a logo involving a parabola ‘sitting’ in a V shape on a set of axes as shown at right.**

**Find the equation of the parabola, given it is of the form ***y* = *kx*2 and the points of intersection of the V with the parabola.

You probably can't see the picture, so the equations of the lines are -2x-2 and 2x-2, and the only point I have for the parabola is (0,0) as the turning point. I'm having trouble with the first part, finding the equation of the first point, because I can't find k. If I can get this bit, I can work the rest out:)

Thanks,

Steven