Question

(x - 3)^2+(y - 4)^2 = 4
which of the following is a graph of the given equation?
choose 1 answer:

Explanation:

Step1: Recall circle - equation form

The standard form of a circle equation is $(x - a)^2+(y - b)^2=r^2$, where $(a,b)$ is the center and $r$ is the radius. For $(x - 3)^2+(y - 4)^2 = 4$, the center is $(3,4)$ and radius $r = 2$.

Step2: Analyze graph options

We need a circle centered at $(3,4)$ with radius 2. Option A has a circle centered at $(3,4)$ with appropriate radius.

Answer:

A.