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^2 + (y-5)^2 = 16\\

what is the center of the circle?
the circle is centered at the point (0,5)
(type an ordered pair)

what is the radius of the circle?
the radius of the circle is 4
(type an integer or a fraction.)

use the graphing tool to graph the circle.

what is the domain?
the domain is
(type your answer in interval notation)

Explanation:

Identify center and radius

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

$$
LATEXBLOCK0
$$

Determine the domain

Using the Domain and Range of a Circle and Interval Notation knowledge points

$$
LATEXBLOCK1
$$

Determine the range

Using the Domain and Range of a Circle and Interval Notation knowledge points

$$
LATEXBLOCK2
$$

Answer:

Question 1

The circle is centered at the point <blank>\((0,5)\)</blank>

Question 2

The radius of the circle is <blank>4</blank>

Question 3

The domain is <blank>\([-4, 4]\)</blank>

Question 4

The range is <blank>\([1, 9]\)</blank>