suppose that g(x) = f(x)+ which statement best compares the graph of g(x) with the graph of f(x)

Answer 1

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

Step-by-step explanation:

To shift a function right

Subtract inside the function's argument. For example, is basically shifted b units to the right.
Subtracting inside the function's argument moves you to the right.
So, g(x) = f(x – 2) means f(x) is shifted two units to the right.

and to move a function up

Add outside the function. For example, is basically moved up units.
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.

Answer is............
--------->The graph of g(x) is shifted 2 units right and 3 units up.<---------