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Algebra II Chapter 10 Section 3
Circle The set of all points a given distance from some center point
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 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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Advanced Algebra Trigonometry Appendix B Objective: SWBAT graph and learn about the equations of circles.
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Sullivan Algebra and Trigonometry: Section 2.4 Circles Objectives Write the Standard Form of the Equation of a Circle Graph a Circle Find the Center and.
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Coordinate Geometry Locus II By Mr Porter. A circle may be defined as the set of all points, P, in a plane at a given distance from a fixed point in the.
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EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +
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EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. SOLUTION The radius is 3 and the center is at the origin. x 2 + y 2 = r.
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TRANSFORMATIONS SPI SPI TYPES OF TRANSFORMATIONS Reflection Reflection – The flip of a figure over a line to produce a mirror image.
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