Answer:
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
- 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
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.
So, option A is correct.