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