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

Question

Ayaan Simmons

Mathematics

20 March, 04:27

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

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Powder · Answer 1

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