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

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