Use the sliders to adjust the values of h, k, and r for the general form of the equation of a circle, (x - h)^2 + (y - k)^2 = r^2.
What happens to the circle when you change the value[br]of [b]h[/b]?
Changing [b]h[/b] moves the circle [b]horizontally[/b].
If you adjust the [b]h[/b] slider to positive numebers, in what direction does the[br]circle move?
The circle moves [b]to the left.[/b]
If you move the [b]h slider going to negative numbers[/b], in what direction does it move?
The circle moves [b]to the right.[/b]
When the slider for [b]h[/b] increases from 0 to 4 (k and r fixed), the circle moves:
The value of [b]h[/b] controls the:
What happens to the circle when you change the value[br]of [b]k[/b]?
The circle moves [b]vertically[/b] (upward or downward) on the coordinate plane.
If [b]k[/b] is positive, in what direction does the[br]circle move?
The circle ,moves downward.
[br][br]If [b]k[/b][br]is negative, in what direction does it move?[br][br][br]
If [b]k[/b] changes from 3 to -2 (h and r fixed), the circle moves:
The circle moves 5 units upward.
If k=−4 the center of the circle moves:
Which change will NOT affect the position of the center?
What happens when both [b]h and k are positive? [/b]
[b]If h and k are both positive, the center moves left and downward.[/b]
What happens when both [b]h and k are both negative?[/b]
[b]If h and k are both negative, the center moves right and upward.[/b]
What happens when [b]r increases?[/b]
If [b]r increases[/b], the circle becomes [b]larger[/b].
What happens when [b]r decreases?[/b]
If [b]r decreases[/b], the circle becomes [b]smaller[/b].
What would the graph look like if [b]r = 0[/b]?
If [b]r = 0[/b], the circle would not look like a circle anymore.[br][br]It would become [b]a single point[/b] located at the center (h,k).