Question

determine the equation of the circle graphed below.
answer attempt 1 out of 2
submit answer

Explanation:

Step1: Find the center of the circle

From the graph, the center of the circle \((h,k)=(5, - 7)\)

Step2: Find the radius of the circle

Counting the units from the center to a point on the circle, the radius \(r = 2\)

Step3: Use the standard form of the circle equation

The standard form of a circle equation is \((x - h)^{2}+(y - k)^{2}=r^{2}\)
Substitute \(h = 5\), \(k=-7\) and \(r = 2\) into the equation:

$$
LATEXBLOCK0
$$

Answer:

\((x - 5)^{2}+(y + 7)^{2}=4\)