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Algebra II Chapter 10 Section 3

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

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Standard Form

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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

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Transformations on a circle Translation Rotation Reflection Dilation

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

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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)

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

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