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.

x² + (y - 1)² = 16

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 equation

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

Step2: Compare the given equation with the standard form

Given equation \(x^{2}+(y - 1)^{2}=16\) can be written as \((x - 0)^{2}+(y - 1)^{2}=4^{2}\).

Answer:

\((0,1)\)