## Visualizing Domain and Range with Circles

**READ** the instructions on the *right* and **INTERACT** with the GeoGebra applet below.

Transform the circle *(x-h)*^{2} + (y-k)^{2} = r^{2}
with center at (h,k) and radius r to find the domain and range of the following circles.

Duke, 11/12/06, Created with GeoGebra

## Investigation Steps

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Journal Entry:

Use the results from question 5 to describe the process for finding the
domain and range of a circle given its center and radius

- (x-4)
^{2} + y^{2} = 3^{2}
- (x+5)
^{2} + (y-4)^{2} = 2^{2}
- (x-6)
^{2} + (y-2)^{2} = 1^{2}
- x
^{2} + (y-3)^{2} = 4^{2}
- (x-h)
^{2} + (y-k)^{2} = r^{2}