Answer:
h(x) = 2(x +11/4)^2 -1/8
Step-by-step explanation:
h(x) = 2(x^2 +(11/2)x) +15
Add the square of half the x-coefficient inside parentheses. Subtract the same amount outside parentheses:
h(x) = 2(x^2 +(11/2)x +(11/4)^2) +15 -2(11/4)^2
h(x) = 2(x +11/4)^2 -1/8
