Question

Quadratic Functions Put the equationy = x^2 + 14a + 40 into the form y = (x - h )^2 + k: Answer: y Preview Get help: Video Poins

Answer 1

Answer:

The required form is $y=(x+7)^2-9$.

Step-by-step explanation:

Consider the provided quadratic function.

$y=x^2 + 14x + 40$

We need to put the equation into the form $y = (x - h )^2 + k$

Add and subtract 49 in order to make the above function a perfect square.

$y=x^2 + 14x+49-49 + 40$

$y=x^2 + 14x+7^2-49 + 40$

$y=(x+7)^2-49 + 40$

$y=(x+7)^2-9$

Hence, the required form is $y=(x+7)^2-9$.