Question

What is the value of h when the function is converted to vertex form? Note: Vertex form is h(x)=a(x−h)2+k.

h(x)=x2−8x+14
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Answer 1

h = 4

Explanation:

Obtain vertex form by using the method of completing the square

Given

h(x) = x² - 8x + 14

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 ← in vertex form

with h = 4