Answer
See graph.
Work Step by Step
To obtain the graph of $y=-2x^2+6x+2=-2(x-\frac{3}{2})^2+\frac{13}{2}$ from $y=x^2$, shift the curve $\frac{3}{2}$ unit(s) to the right, stretch vertically by a factor of 2, reflect across the x-axis, then shift $\frac{13}{2}$ unit(s) up. See graph.
