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

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

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`.