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+4)^2 + (y-6)^2 = 4\\

the center is \\((-4,6)\\).
(type an ordered pair. simplify your answer.)

the radius is .
(type an integer or a simplified fraction.)

Explanation:

Identify the center and radius

Using the Standard Form of Circle and Equation of a Circle knowledge points

$$
LATEXBLOCK0
$$

Determine the domain and range

Using the Domain and Range of a Circle knowledge point

$$
LATEXBLOCK1
$$

Answer:

The center is \((-4, 6)\).

The radius is \(2\).

The domain is \([-6, -2]\).

The range is \([4, 8]\).