1. **State the problem:** We are given points $(x,y)$ as $(0,-3)$, $(-2,1)$, and $(1,2)$ and a graph with two shaded circles. We need to analyze or solve based on this data. 2. **Identify the problem type:** Since the user says "Solve" without specifying, we interpret this as finding the equation of the circles or understanding the shaded regions. 3. **Equation of a circle:** The general form is $$ (x - h)^2 + (y - k)^2 = r^2 $$ where $(h,k)$ is the center and $r$ is the radius. 4. **Larger circle:** Centered at approximately $(0,1.5)$ with radius reaching about $y=5$. Radius $r = 5 - 1.5 = 3.5$. Equation: $$ (x - 0)^2 + (y - 1.5)^2 = 3.5^2 = 12.25 $$ 5. **Smaller circle:** Centered at approximately $(0,-3)$ with label "3" inside it, likely radius $r=3$. Equation: $$ (x - 0)^2 + (y + 3)^2 = 3^2 = 9 $$ 6. **Check if given points lie inside the circles:** - For $(0,-3)$ in smaller circle: $$ (0-0)^2 + (-3+3)^2 = 0 + 0 = 0 \leq 9 $$ inside. - For $(-2,1)$ in larger circle: $$ (-2-0)^2 + (1-1.5)^2 = 4 + 0.25 = 4.25 \leq 12.25 $$ inside. - For $(1,2)$ in larger circle: $$ (1-0)^2 + (2-1.5)^2 = 1 + 0.25 = 1.25 \leq 12.25 $$ inside. 7. **Conclusion:** The points lie inside the respective circles as per the graph. **Final answer:** - Larger circle equation: $$x^2 + (y - 1.5)^2 = 12.25$$ - Smaller circle equation: $$x^2 + (y + 3)^2 = 9$$