Question

What is the equation for g(x)=

Answer 1

Answer:

g(x) = -(x + 3)^2  - 1

Step-by-step explanation:

g(x) has a peak, and goes down on both sides, it needs a negative sign.  From the vertex, when x increases by 1, y decreases by 1, and when x increases by another 1, y decreases by 3.  a = -1.  The function is 3 units to the left and 1 unit down.  That will make h = -3 and k = -1 to the function g(x) = a(x - h)^2 + k.

Plug the values in to get the answer.