Given f(x)=x2+14x+40 . Enter the quadratic function in vertex form in the box.

1 answer:

8 0

Please indicate exponentiation using " ^ " Thanks.

f(x)=x2+14x+40 => <span>f(x)=x^2+14x+40

Next, complete the square:

</span>f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9

Write this in the form y = (x+7)^2 - 9 or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9

In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).

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Given ​ f(x)=x2+14x+40 ​. Enter the quadratic function in vertex form in the box.

Given f(x)=x2+14x+40 . Enter the quadratic function in vertex form in the box.