We want to graph the given function f(x)=2x+2−2 as a transformation of the function y=2x. f(x)=2x+2−2⇔f(x)=2x−(-2)+(-2) Looking at the equation, we can see that the function has been translated 2 units to the left and 2 units down. Let's show the transformations one at a time.
Firstly, let's consider the function y=2x+2. This is a horizontal translation of y=2x to the left by 2 units.
Finally, we will consider the function f(x)=2x+2−2. This is a vertical translation of y=2x+2 down by 2 units.
Therefore, we can notice that the obtained graph is shown in choice C.