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Please help:Consider the function f (x) = x^2 + 4x + 7.Which equation shows function f written in vertex form?A. f (x) = (x+2)^2 + 3B. f (x) = (x+4)^2 + 11C. f (x) = (x+3)^2 + 7D. f (x) = (x+4)^2 − 7

Please helpConsider the function f x x2 4x 7Which equation shows function f written in vertex formA f x x22 3B f x x42 11C f x x32 7D f x x42 7 class=

Respuesta :

we have the function

[tex]f(x)=x^2+4x+7[/tex]

Convert the given equation into vertex form

Complete the square

so

[tex]\begin{gathered} f(x)=(x^2+4x)+7 \\ f(x)=(x^2+4x+2^2-2^2)+7 \\ f(x)=(x+2)^2+3 \end{gathered}[/tex]

The answer is option A (vertex at (-2,3)

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