Question

determine the equation of the circle graphed below.

Explanation:

Step1: Find the center of the circle

From the graph, the center of the circle \((h,k)=(7, - 3)\)

Step2: Find the radius of the circle

Count the units from the center to a point on the circle. The radius \(r = 2\)

Step3: Use the standard equation of a circle

The standard equation of a circle is \((x - h)^2+(y - k)^2=r^2\). Substitute \(h = 7\), \(k=-3\), and \(r = 2\) into the equation:

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Answer:

\((x - 7)^2+(y + 3)^2=4\)