Question

1. write an equation for the circle whose graph is shown.

$(x + 1)^2+(y - 2)^2 = 4$
$(x + 1)^2+(y - 2)^2$
$(x - 1)^2+(y + 2)^2 = 2$
$(x - 1)^2+(y + 2)^2 = 4$

Explanation:

Step1: Find circle center

Center is at $(-1, 2)$ (from graph's blue dot).

Step2: Calculate radius

Radius = distance from center to edge (e.g., to $(1,2)$: $1 - (-1) = 2$).

Step3: Write circle equation

Standard form: $(x - h)^2 + (y - k)^2 = r^2$. Substitute $h=-1, k=2, r=2$: $(x + 1)^2 + (y - 2)^2 = 4$.

Answer:

A. $(x + 1)^2 + (y - 2)^2 = 4$