Answer:
A. [tex]f(x) = -3(x +2)^2-2[/tex]
Step-by-step explanation:
There is a -3 being multiplied, making the function on the graph narrower from the original. The -3 also makes the function flip over the x-axis, since it's negative. There is also a 2 being added in (x + 2), meaning that it shifts left by 2 units. There is a -2, meaning that the function shifts 2 units down the graph.
Based on the information that applies to this function, this is the only function that represents f(x) on the graph given.
