Find a quadratic function whose graph is a parabola with x intercepts of (-2,0) and (4,0) and highest point (h,4)

Question

 Is the highest point (0,4)? How do I create a quadratic function?

Answer 1

y = a(x-4)(x+2)  has the given x-intercepts (roots).

 

Now substitute 4 for y and h for x.  solve for a.