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:  y=(x+7)^2-9 where h=-7 and k=-9

Step-by-step explanation:

We need to "complete the square",

A perfect square trinomial formule is:

(a+b)^{2}=a+2ab+b^{2}

in this case, a is x and to find -h we know that 14x is 2*x*(-h) so:

14x=2*x*(-h)

14x/2x=-h (x is simplified)

7=-h => h=-7

we add +7^2 and -7^2, to the first equation:  

y= x^2 + 14x + 7^2 -7^2 + 40 (the underlined section is a perfect square trinomial already)

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

y= (x+7)^2 - 9