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