Answer
See graph
Work Step by Step
$$y=-2x^2+4x-3$$
$$y+3=-2x^2+4x$$
$$y+3=-2(x^2-2x)$$
Complete the square.
$$y+3-2=-2(x^2-2x+1)$$
$$y+1=-2(x-1)^2$$
$$y=-2(x-1)^2-1$$
This is a parabola with center (2,-1)
Substitute values for x to find their corresponding y-values.
$$y=-2(2-1)^2-1$$
$$y=-3$$
$$(2,-3)$$
$$y=-2(0-1)^2-1$$
$$y=-3$$
$$(0,-3)$$
Plot these points and connect with a smooth curve.
