Suppose g(x) = f(x – 2) + 3. Which statement best compares the graph of g(x) with the graph of f(x)?
A. The graph of g(x) is shifted 2 units right and 3 units up.
B. The graph of g(x) is shifted 2 units left and 3 units down.
C. The graph of g(x) is shifted 2 units right and 3 units down.
D. The graph of g(x) is shifted 2 units left and 3 units up.

we conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units up.

Option A is correct

Step-by-step explanation:

To shift a function right

So, g(x) = f(x – 2) means f(x) is shifted two units to the right.

and to move a function up

So, g(x) = f(x – 2) + 3 means, f(x) is moved 3 units up.

Therefore, overall, after two transformations, we conclude

that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units up.

So, option A is correct.

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step-by-step explanation: