Answer
See graph
Work Step by Step
$$y=-4(x-2)^2+2$$
The vertex is (2,2).
Substitute x-values to find their corresponding y-values.
$$y=-4(1-2)^2+2$$
$$y=2$$
$$(1,-2)$$
$$y=-4(3-2)^2+2$$
$$y=-2$$
$$(3,-2)$$
Plot these points on a graph and connect with a smooth curve.