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Rewrite the function y= x^2 + 14x + 4 in vertex form

Rewrite the function y= x^2 + 14x + 4 in vertex form-example-1

1 Answer

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vertex form is basically commplete the square
y=a(x-h)^2+k


y=x^2+14x+4
take 1/2 of 14 and square it, (7^2=49)
add that and its negative to right side
y=x^2+14x+49-49+4
factor perfect squaer
y=(x+7)^2-49+4
y=(x+7)^2-45

answer is A
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