Question

give the center and radius of the circle described by the equation and graph the equation. use the graph to identify the domain and range.
$(x + 5)^{2}+(y - 6)^{2}=4$
the center is
(type an ordered pair. simplify your answer.)

Explanation:

Step1: Recall the standard form of a circle equation

The standard form of a circle equation is \((x - h)^2+(y - k)^2=r^2\), where \((h,k)\) is the center and \(r\) is the radius.

Step2: Rewrite the given equation in the standard form

Given \((x + 5)^2+(y - 6)^2 = 4\), we can rewrite it as \((x-(-5))^2+(y - 6)^2=2^2\).

Answer:

\((-5,6)\)