Answer:
g(x) = - (x+1)^2 +2
Step-by-step explanation:
1. Shifting up 2 units is y = x^2 + 2
2. Shifting to the left is y = (x + 1)^2
3. Rotating 180 degrees is just flipping the x-axis which means the whole equation becomes negative, y = -x^2
4. Therefore if you add it all up it becomes y = - (x+1)^2 +2
