Graph 1 - circles
The simplified general equation for the circle centered at the origin is:
Where r is the radius of the circle. The general circle is centered at the origin (0,0). There is a more accurate formula which we will look at later which describes the circle centered at any point.
Go into Desmos, select the circle example function.
Modify the function to explore the effects of changing the radius. Now change the x and y values and observe what happens to the circle.
Go into Desmos, select the circle example function.
Modify the function to explore the effects of changing the radius. Now change the x and y values and observe what happens to the circle.
exploring graphs with desmos
using settings to adjust the grid layout
moving the circle vertically and horizontally
(shifting the circle)
Move in the opposite direction to which the x and y values appear to be going in, same as for parabolas. So go right if x is negative, left if positive on the number line. For the y values, go up if y is negative and down if y is positive. The equation below shifts the circle 1 unit to the right (x value =1) and shifts the circle 2 units down (y value = 2).