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.
$(x + 1)^{2}+y^{2}=25$
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's 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

The given equation is \((x + 1)^2+y^2 = 25\), which can be rewritten as \((x-(- 1))^2+(y - 0)^2=5^2\).

Answer:

The center is \((-1,0)\)