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Transformations of Circles
Use this eTool to complete the answers in parts (a) to (c).
a. As a team, translate the graph of x2 + y2 = 25 horizontally and vertically. Then write an equation in graphing form for this family of circles using h and k. Be prepared to share your results and your strategies with the class.
b. How can you make the circle larger or smaller? Refer to your graph of x2 + y2 = 25. What is the radius? How is the radius of the circle related to the equation?
c. What is the equation of a circle that has its center at (5, –7) with radius 10? With radius 12?