The function that models the new graph after moving 3 units up and 2 units to the right is f(x) = 2x - 1.
To model the graph of the function f(x) = 2x that has been moved 3 units up and 2 units to the right, we need to modify the equation.
When the graph is moved up by 3 units, the new equation becomes f(x) = 2x + 3.
When the graph is moved 2 units to the right, the x term needs to be adjusted accordingly.
So, the final function that models the new graph is f(x) = 2(x - 2) + 3, which simplifies to f(x) = 2x - 1.
Therefore, the correct option is D. f(x) = 2x + 2-3.
The probable question may be:
The graph of f(x) = 2x is moved 3 units up and 2 units to the right. Which function models the new graph?
A. f(x) = 2x-2-3
B. f(x) = 2x-2+3
C. f(x) = 2x+2+3
D. f(x) = 2x+2-3