Write the function in vertex form. (show each step)

h(x) = -2x^2 + 7x

Draw a graph y=f(x) that matches the following characteristics. increasing on: -8< x< -4 and-1< x< 5. decreasing on : -4< x< -1. f(-8)=-5 and zeros at x=-6,-2,and 3. absolute maximum of 7 and absolute minimum of -5.