Answer:
h(x) = (x + 5)² - 18
Explanation:
Given
h(x) = 7 + 10x + x² = x² + 10x + 7
To obtain vertex form, use the method of completing the square
add/ subtract ( half the coefficient of the x- term )² to x² + 10x
h(x) = x² + 2(5)x + 25 - 25 + 7
= (x + 5)² - 18 ← in vertex form