How do you write $f(x) = x^2 + 7x + 2$ in vertex form?

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Answer 1 · 2017-04-23T12:10:18

In vertex form: $f(x)=(x+3.5)^2 -10.25$

$f(x)= x^2+7x+2 or f(x)= (x+7/2)^2 -49/4+2 orf(x)= (x+7/2)^2 -41/4$

Comparing with standard equation $f(x)=a(x-h)^2+k$ , where $(h,k)$ is vertex.

Vertex is at $(-7/2 , -41/4) or (-3.5 , -10.25)$

In vertex form: $f(x)=(x+3.5)^2 -10.25$ [Ans]

How do you write f(x) = x^2 + 7x + 2f(x) = x^2 + 7x + 2 in vertex form?