Algebra II Chapter 10 Section 3.

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Presentation transcript:

Algebra II Chapter 10 Section 3

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

Standard Form

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

Transformations on a circle Translation Rotation Reflection Dilation

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

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)

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