sauvifatcat
27.06.2019 •
Mathematics
Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form. a) f(x) = (x − 8)^2b) f(x) = (x − 4)^2 − 13 c) f(x) = (x − 4)^2 + 3 d) f(x) = (x − 4)^2 + 16
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Ответ:
f(x) = (x - 4)² - 13
Step-by-step explanation:
f(x) = x² − 8x + 3
x² − 8x + 3 = 0
x² - 8x = -3
x² - 8x + 4² = -3 + 4²
x² - 8x + 4² = -3 + 16
x² - 8x + 4² = 13
(x - 4)² = 13
(x - 4)² - 13 = 0
The vertex form of a quadriatic function f(x) = x2 − 8x + 3 is;
f(x) = (x - 4)² - 13
Ответ: