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Write the quadratic function in vertex form.

y = x^2 + 4x + 7

1 Answer

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The vertex form of the function given is
y = (x + 2)^2 + 3

The vertex form of a quadtratic function is in the form
y = (x - h)^2 +k
Start by completing the square of the quadtratic function which results to

y = (x^2 +4x +4) +7 -4
then simplifying the equation in the vertex form:
y = (x+2)^2 + 3
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