Answer
See graph.
Work Step by Step
Step 1. Recall the basic graph of $y=x^2$ as shown in the figure (red curve).
Step 2. Shift the curve 2 units right, stretch the curve vertically by a factor of 3, reflect across the x-axis, then shift up 1 unit to obtain the graph of $f(x)=-3(x-2)^2+1$ (black curve).