To assist with graphing a transformed function based on the given function $f(x)$, I'll need to know the specifics of the transformation. This could be a vertical shift, horizontal shift, reflection, or stretching/compressing of the graph. Please specify the transformation details so I can proceed with sketching the graph and describing the transformation in words.

Here are some potential questions to consider:

1. Do you want the function to be shifted vertically or horizontally?
2. Is there a reflection involved, either over the x-axis or y-axis?
3. Should the function be stretched or compressed?
4. Are there any points of interest, such as the vertex or intercepts, that you specifically want to track through the transformation?
5. Do you need to consider the function's domain or range modifications due to the transformation?

Tip: When thinking about transformations, it helps to first consider translations (shifts) and reflections as these typically maintain the shape of the graph, and then consider stretches and compressions, which alter the graph's scale.