This activity will explore transformations of circles in the coordinate plane.[br][br]1) Move "h" along the slider. How does it transform the circle? How does it impact the standard form equation?[br]2) Move "k" along the slider. How does it transform the circle? How does it impact the standard form equation?[br]3) Move "r" along the slider. How does it transform the circle? How does it impact the standard form equation?[br]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.[br]5) Using the equation: [math]x^2+y^2-10x+4y=-20[/math], find the center and radius of the circle. Show your work. Graph it using the sliders below.