Exploring Circles in the Coordinate Plane
This activity will explore transformations of circles in the coordinate plane.
1) Move "h" along the slider. How does it transform the circle? How does it impact the standard form equation?
2) Move "k" along the slider. How does it transform the circle? How does it impact the standard form equation?
3) Move "r" along the slider. How does it transform the circle? How does it impact the standard form equation?
4) If I want the circle to have a center at (-3, 2) and a radius of 5, what will be the equation of the circle in the standard form? Try to determine it, then check using the sliders.
5) Using the equation: , find the center and radius of the circle. Show your work. Graph it using the sliders below.