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MGSE9-12.G.GPE.1 Investigation 1: Equation of a Circle Sketch APS

Questions

1.     What happens as h moves in the positive direction? 2.     What happens as h moves in the negative direction? 3.     What kind of transformation does changing h create? 4.     What happens as k moves in the positive direction? 5.     What happens as k moves in the negative direction? 6.     What kind of transformation does changing k create? 7.     What happens as r gets further from zero? 8.     What happens as r gets closer to zero? 9.     What kind of transformation does changing r create? 10.  Why does the equation for a circle so closely resemble the Pythagorean Theorem and the distance formula? (Hint: think of the definition of a circle)

Circles and the Pythagorean Theorem Questions