1. Algebra II
Chapter 10 Section 3

2. Circle
The set of all points a given distance from some center point

3. Standard Form

4. Find the center and radius given an Equation
25 = (x – 7)2 + (x + 4)2
64 = (x – 3)2 + (x - 6)2
22 = (x + 7)2 + (x + 11)2
-3 = (x – 4)2 + (x + 5)2

5. Transformations on a circle
Translation
Rotation
Reflection
Dilation

6. Given the Equation and Translation of the following circles give the equation of the image circle
x2+ y2 = 25 Up 2 units
x2+ y2 = 25 Left 4 units
x2+ y2 = 25 Down 3 and right 5 units

7. Write the equation of the circle that passes through the given point and has a center at the origin
( 9 , 12)
(12 , -5)
(2 , -3)

8. Do Now
Page 553 Problems 4-64 (multiples of 4)