Click on the link below to access eTool.
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?
![](https://media.screensteps.com/image_assets/assets/001/840/328/original/5e3b7c08-9823-4bee-a1a2-4f2cf6b5ba4a.png)