Question

What is h(x)=7+10x+x^2 written in vertex form?

Answer 1

Answer:

h(x) = (x + 5)² - 18

Step-by-step 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