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)=x^2−8x+14 Enter your answer in the box.

Answer 1

Correct answer is: h(x) = (x - 4)² - 2

Explanation:

Given:

h(x) = x² - 8x + 14 = x² - 2 · x · 4 + 4² - 4² + 14 = (x - 4)² - 16 + 14 = (x - 4)² - 2

h(x) = (x - 4)² - 2

God with you!!!

Answer 2

h = 4

Explanation:

Step-by-step explanation:

The standard form of a quadratic function is

y = ax² + bx + c

Your function is

h(x) = x² − 8x + 14

a = 1; b = -8; c = 14

The vertex form of a parabola is

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

h = -b/(2a) and k = f(h)

Calculate h

h = -(-8)/(2×1)

= 8/2

= 4