Using the completing-the-square method, rewrite f (x) = x2 - 8x + 3 in vertex form. f (x) = (x - 8) 2 f (x) = (x - 4) 2 - 13 f (x) = (x - 4) 2 + 3 f (x) = (x - 4) 2 + 16

Question

Mathematics

Kali Baker

19 April, 02:31

Using the completing-the-square method, rewrite f (x) = x2 - 8x + 3 in vertex form. f (x) = (x - 8) 2 f (x) = (x - 4) 2 - 13 f (x) = (x - 4) 2 + 3 f (x) = (x - 4) 2 + 16

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Answers (1)

Know the Answer?

Dennis Hart · Answer 1

f (x) = (x - 4) ² - 13

Step-by-step explanation:

Given

f (x) = x² - 8x + 3

To complete the square

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

f (x) = x² + 2 ( - 4) x + 16 - 16 + 3 = (x - 4) ² - 13