Answer:a
Step-by-step explanation:
Answer: 1 2 3
Step-by-step explanation:
Answer:
The correct answer is c. c is the square of half of b.
Step-by-step explanation:
In all perfect square trinomials, half of the middle number squared gives you the constant. See the example below for proof.
(x + 4)^2
(x + 4)(x + 4)
x^2 + 4x + 4x + 16
x^2 + 8x + 16
You'll notice if you take the middle term (8), cut it in half (4) and then square it (16), the result is the constant.
The general equation is y-k=a(x-h)² where (h,k) is the vertex.
So in this case we have y+12=a(x+6)².
Plug in x=0, y=-24: -12=36a, and a=-⅓. Therefore y+12=-⅓(x+6)².