Question

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

Explanation:

Step1: Recall the standard form of a circle's equation

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

Step2: Identify \(h\) and \(k\)

For the equation \((x - 5)^2+(y - 6)^2 = 4\), we have \(h = 5\) and \(k=6\).

Answer:

\((5,6)\)