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.
$(x + 3)^{2}+(y - 1)^{2}=9$
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 to match the standard form

Given \((x + 3)^2+(y - 1)^2=9\), we can rewrite \((x+3)\) as \((x-(- 3))\). So, \(h=-3\) and \(k = 1\).

Answer:

\((-3,1)\)