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