Answer:
Step-by-step explanation:
Let's start by simplifying a little:
g(x) = -2[(x − 1)² + 3]
g(x) = -2(x − 1)² - 6
The negative sign in front means a reflection about the x axis. The 2 coefficient means a vertical stretch by a factor of 2. The x−1 means a horizontal shift to the right by 1 unit. And the -6 means a vertical shift down six units.
So the answer is the third one.
