CPM Student TutorialsCC Integrated III eTools Chapter 2INT3 2.2.4: 2-91 Student eTool (Desmos)

INT3 2.2.4: 2-91 Student eTool (Desmos)

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?