Answer:
h = 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
Given
h(x) = x² - 8x + 14
Express h(x) in vertex form by using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 8x
h(x) = x² + 2(- 4)x + 16 - 16 + 14
= (x - 4)² - 2
Compare to h(x) = (x - h)² + k , then
h = 4
