Question

Using the completing-the-square method, rewrite f(x) = x2 - 8x + 3 in vertex form.

f(x) = (x - 3)2
f(x) = (x – 4)2 – 13
f(x) = (x – 4)2 + 3
f(x) = (x – 4)2 + 16

Answer 1

B

Explanation:

Given

f(x) = x² - 8x + 3

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 3

(x - 4)² - 13 ← in vertex form → B