Question
Graph the system of inequalities. Then find the coordinates of the points of intersection of the graphs of the related equations.$$\begin{aligned}&y \geq x^{2}-3\\&y \leq 2 x\end{aligned}$$
Step 1
The inequality $y \geq x^{2}-3$ is a parabola that opens upwards with a vertex at $(0,-3)$. Since $y$ is greater than or equal to $x^{2}-3$, we shade the region above the parabola. Show more…
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Graph the system of inequalities. Then find the coordinates of the points of intersection of the graphs of the related equations. $$\begin{aligned} &x \geq y^{2}\\ &x-y \leq 2 \end{aligned}$$
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