Vertex and x and y intercept

Question

H(x)=-1/2x^2+7x+15/2

Answer 1

H(x) = (-1/2)(x²-14x -15) set equal to 0, factor and solve to find x- intercepts.

 

Find H(0) to find y intercept.

 

Complete the square to ut in (h,k) form.

H(x) = (-1/2)(x² -14x + ______ ) + 15/2

 

H(x) = (-1/2)(x² -14x + 49) +49/2 +15/2

 

H(x) = (-1/2)(x - 7)² + 64/2

 

H(x) = (-1/2)(x- 7)² + 32

 

(+7, +32)