Answer: Option C
g(x) is shifted 2 units to the left and 7 units down.
Step-by-step explanation:
If we have a main function
And we perform the transformation:
Then it is fulfilled that:
If the graph of f(x) moves horizontally h units to the left
If the graph of f(x) moves horizontally h units to the right
If we have a main function
And we perform the transformation:
Then it is fulfilled that:
If the graph of f(x) moves vertically k units up
If the graph of f(x) shifts vertically k units down
In this case we have to:
Therefore and
This mean that: g(x) is shifted 2 units to the left and 7 units down