Answer
See graph and explanations.
Work Step by Step
Step 1. From the equation, we can identify the vertex as $(1,2)$ and axis of symmetry as $x=1$
Step 2. We can find x-intercepts as $x=1\pm\sqrt {\frac{2}{3}}$ or $x=1-\frac{\sqrt 6}{3}$ and $x=1+\frac{\sqrt 6}{3}$
Step 3. We can find the y-intercept as $y=-3(0-1)^2+2=-1$
Step 4. We can graph the equation as shown in the figure.
