You haven't provided any info regarding what constitutes "the correct transformation."
If you meant f(x) = (x-2) + 3, then the graph of f(x) is the same as the graph of g(x) = x+3 translated 2 units to the right.
For this case we must solve the following quadratic equation:

We use the quadratic formula to find the solutions:

Where:

Substituting we have:

In this way we have two roots:

Answer:

Answer: Asymptote at y=0; range of 0,infinity; y-intercept of (0,1)
Step-by-step explanation: