Answer
Please see the graph.
Work Step by Step
$y \ge x^2$ (Blue line)
$y \le -4x+2$ (Red line)
$y \ge x^2$
We pick the point $(1,0)$ to determine what side of the line to shade.
$y \ge x^2$
$0 \ge 1^2$
$0 \ge 1$ (true, so we shade the side of the line with this point)
$y \le -4x+2$
We pick the point $(-1,0)$ to determine what side of the line to shade.
$y \le -4x+2$
$0 \le -4*-1+2$
$0 \le 4 +2$
$0 \le 6$ (true, so we shade the side of the line with this point)
The solution set of the two equations is the overlap of the two graphs.
