Question
rewrite f(x)=x^(2)-6x+2 in vertex form
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GPT 3.5
To rewrite the function f(x) = x^2 - 6x + 2 in vertex form, follow these steps:
1. Complete the square for the quadratic term.
f(x) = (x^2 - 6x) + 2
f(x) = (x^2 - 6x + 9) - 9 + 2
f(x) = (x - 3)^2 - 7
2. Rewrite the constant term.
f(x) = (x - 3)^2 - 7
Therefore, the function f(x) = x^2 - 6x + 2 can be written in vertex form as f(x) = (x - 3)^2 - 7.
1. Complete the square for the quadratic term.
f(x) = (x^2 - 6x) + 2
f(x) = (x^2 - 6x + 9) - 9 + 2
f(x) = (x - 3)^2 - 7
2. Rewrite the constant term.
f(x) = (x - 3)^2 - 7
Therefore, the function f(x) = x^2 - 6x + 2 can be written in vertex form as f(x) = (x - 3)^2 - 7.
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