Answer
$x+y^2\leq4$
Work Step by Step
According to the given graph and the equation, our inequality is:
$x+y^2\leq4$
This includes the shaded area and the function itself (because we have an equals sign). Notice that we used a less-than sign to shade the graph to the left of the curve.
We confirm the inequality by plugging in (0,0), which gives us:
$0+0^2\leq4$
This is a true statement, as expected since the origin is included in the shaded region. Thus, the inequality works.