4. Write the equation of a circle with a center of (2, -1) and a radius of '5'

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 9E
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20
(9, 12)
10
C=(-3,6)
-20
-10
10
-10
1. The image shows a circle with center (-3, 6) and radius 13 units. Look at the equation below:
(x
-3)² + (y – 6)² = 13?
This equation will allow us to quickly test if any point is on the circle.
Is the point (1,11) on the circle? Explain how you know
2. Explain where '-3' and '6' show up in the equation and in the diagram. (Hint: it is a specific location that's important to the circle!)
3. Explain where '13' show up in the equation and in the diagram.
4. Write the equation of a circle with a center of (2, -1) and a radius of '5'
Transcribed Image Text:20 (9, 12) 10 C=(-3,6) -20 -10 10 -10 1. The image shows a circle with center (-3, 6) and radius 13 units. Look at the equation below: (x -3)² + (y – 6)² = 13? This equation will allow us to quickly test if any point is on the circle. Is the point (1,11) on the circle? Explain how you know 2. Explain where '-3' and '6' show up in the equation and in the diagram. (Hint: it is a specific location that's important to the circle!) 3. Explain where '13' show up in the equation and in the diagram. 4. Write the equation of a circle with a center of (2, -1) and a radius of '5'
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