1. **State the problem:** We need to write the equations of three circles A, B, and C based on their centers and sizes from the graph description. 2. **Recall the formula for a circle's equation:** $$ (x - h)^2 + (y - k)^2 = r^2 $$ where $(h, k)$ is the center of the circle and $r$ is its radius. 3. **Identify centers and estimate radii:** - Circle A: Center near $(2, 1)$, smaller size. From the graph scale, estimate radius $r_A \approx 1$. - Circle B: Center near $(-3, 1)$, larger size. Estimate radius $r_B \approx 3$. - Circle C: Center at $(0, 0)$, medium size. Estimate radius $r_C \approx 2$. 4. **Write the equations:** - Circle A: $$ (x - 2)^2 + (y - 1)^2 = 1^2 = 1 $$ - Circle B: $$ (x + 3)^2 + (y - 1)^2 = 3^2 = 9 $$ - Circle C: $$ x^2 + y^2 = 2^2 = 4 $$ 5. **Final answer:** - Circle A: $$(x - 2)^2 + (y - 1)^2 = 1$$ - Circle B: $$(x + 3)^2 + (y - 1)^2 = 9$$ - Circle C: $$x^2 + y^2 = 4$$