Download 1) Graph the following circle: (x

Honors Math 3
Name: _____________________________
Unit 2 – Day 2 Assignment: Completing the Square with Circles
1) Graph the following circle:
a. (x - 3)2 + (y + 1)2 = 4
b. (x – 2)2 + (y – 5)2 = 9
2) For each circle: Identify its center and radius.
a. (x + 3)2 + (y – 1)2 = 4
b. x2 + (y – 3)2 = 18
c.
(y + 4)2 + (x + 2)2 = 16
c. (y + 8)2 + (x + 2)2 = 72
Center:_____________
Center:___________
Center:_____________
Radius:_____________
Radius:____________
Radius:_____________
3) Write the equation of the following circles:
4) Give the standard equation of the circle whose center is (5,-3) and goes through (2,5)
5) Give the standard equation of the circle whose endpoints of a diameter at (-4,1) and (4, -5)
6) Write the general equation of the circle with center (5, 0) and radius 6.
7) Write the general equation of the circle whose center is (8, -3) and circumference is 14π.
8) Find the standard form, center, and radius of the following circles:
a) x2 + y2 – 4x + 8y – 5 = 0
b) 4x2 + 4y2 +
36y + 5 = 0
Center:___________
Center:________
Radius:______________
Radius:___________
c) x2
+ y2 + 14x - 12y + 4 = 0
translated up 5 & left 2
– 100x – 56 = -100x2 - 100y2
translated right 6 & down 4
d) 240y
Center:___________
Center:________
Radius:______________
Radius:___________
9) Graph the following circles:
a) x2 – 2x + y2 + 8y – 8 = 0
b) x2 + y2 – 6x + 4y – 3 = 0