Question

Rewrite the function by completing the square.

Answer 1

Answer:

$y = x^2+14x +(14/2)^2 +8 - (14/2)^2$

And solving we got:

$y = x^2 +14x +49 + 8 -49$

And we can reorder the terms we got:

$y =(x+7)^2 -41$

And that would be the equivalent expression for the problem

Step-by-step explanation:

For this case we have the following function given:

$y = x^2 +14x +8$

And we can complete the square adding the middle of 14 squared and subtracted before like this:

$y = x^2+14x +(14/2)^2 +8 - (14/2)^2$

And solving we got:

$y = x^2 +14x +49 + 8 -49$

And we can reorder the terms we got:

$y =(x+7)^2 -41$

And that would be the equivalent expression for the problem