Equation of a circle

Move the sliders h, k, and r and see how they each affect the graph of the circle.
The equation of the circle is displayed in the algebra window to the left.

1. How does the value of h affect the equation of the circle?
2. How does the value of k affect the equation of the circle?
3. How does the value of r affect the equation of the circle?

Write a "general" equation for a circle (no numbers, just x, y, h, k and r).

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Kelly Harms, Created with GeoGebra