Question

Please help ASAP 25 pts

Answer 1

Answer:

y = -4(x+2)^2 +2

Step-by-step explanation:

y = -4x^2 -16x-14

Factor out a negative -4 out of the first two terms

y = -4(x^2 +4x) -14

We will complete the square

(b/2)^2 is what we need to add

(4/2)^2 =2^2 =4

Remember the -4 on the outside so when we add 4 on the inside we are really adding -4*4 = -16  so we need to  do the opposite on the outside -(-16)  and add 16

y = -4(x^2 +4x+4) -14 +16

Simplify inside the parenthesis

y = -4(x+2)^2 +2