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BlackZzzverrR [31]
4 years ago
10

Which function in vertex form is equivalent to f(x) = x^2 + 6x + 3?

Mathematics
1 answer:
OlgaM077 [116]4 years ago
3 0
f(x)=x^2+6x+3

Complete the square:

x^2+6x+a^2\implies a=\dfrac{6x}{2x}=3\implies x^2+6x+3^3

And we have:

f(x)=x^2+6x+3\\\\f(x)=x^2+6x+3^2-3^2+3\\\\f(x)=(x+3)^2-9+3\\\\\boxed{f(x)=(x+3)^2-6}

Answer B.

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