1. Give the equations of each circle below:
a. |
b. |
c. |
2. Give the equations of the circles with the following properties:
a. Radius of 5 and centre of (0, 0)
b. Radius of 7 and centre of (-3, -2)
c. Centre (3, 4) and passing through the point (0, 3)
d. Centre (-3, -5) and passing through the point (-6, 2)
3. Give the coordinates of the centre and the length of the radius of the following circles:
a. (x − 3)2 + (y + 2)2 = 64
b. (x +1)2 + (y − 4)2 = 36
c. (x − 2)2 + (y + 2)2 = 20
d. x2 + (y + 1)2 = 8
4. Sketch the graphs of the following functions. Mark the x and y-intercepts clearly.
a. x2 + y2 = 100
b. x2 + (y − 2)2 = 16
c. (x − 2)2 + (y + 3)2 = 49
d. (x − 5)2 + y2 = 22