Question

1. write an equation for the circle whose graph is shown. $(x + 2)^{2}+(y - 1)^{2}=9$ $(x - 2)^{2}+(y + 1)^{2}=3$ $(x + 2)^{2}+(y - 1)^{2}=3$ $(x - 2)^{2}+(y + 1)^{2}=9$

Explanation:

Step1: Find circle center

Center is at (2, -1) from graph.

Step2: Calculate radius squared

Radius is 3 (distance from center to edge), so $r^2=9$.

Step3: Write circle equation

Standard form: $(x-h)^2+(y-k)^2=r^2$, substitute $h=2,k=-1,r^2=9$.

Answer:

$(x - 2)^2 + (y + 1)^2 = 9$