Write an equation for a parabola with vertex (3, -6) crossing theThe Problem:x-axis at -1 and 7.

Attempted Solution:

The equation for a parobola is .

I plugged in the vertex.

I do not know how I would find what value would equal both -1 and 7, thought. There doesn't appear to be any algebric method which would work, at least to my intuitions.

Could someone please help?

Thank you