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

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asked Jul 26, 2017 126k views

1 Answer

Edoardo Guerriero · Answer 1 · 2017-08-01T14:24:27+0000

f(x) = x² - 8x + 3
y = x² - 8x + 3
- 3 - 3
y - 3 = x² - 8x + 16
y - 3 + 16 = x² - 8x + 16
y + 13 = x² - 8x + 16
y + 13 = (x - 4)²
- 13 - 13
y = (x - 4)² - 13
f(x) = (x - 4)² - 13

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

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