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Vladimir79 [104]
3 years ago
6

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

Mathematics
2 answers:
lana [24]3 years ago
6 0

Answer:

B

Step-by-step explanation:

f(x) = x^{2} -8x+3

=> f(x)= x^{2} -2(x)(4)+4^{2}-4^{2}+3

=> f(x) = (x-4)^{2}-4^{2}+3

=> f(x) = (x-4)^{2}-16+3

=> f(x) = (x-4)^{2}-13

Ad libitum [116K]3 years ago
4 0

Answer:

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

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