Math III Warm Up 2/24/14 Complete the square: 1. 𝑥 2 −4𝑥+ _____=(_______ ) 2 2. 𝑥 2 +3𝑥+ _____=(_______ ) 2 Solve by completing the square: 3. 𝑥 2 −4𝑥+5=8 4. 2 𝑥 2 +9𝑥+7=0

Write the following information in standard form and graph A circle with: 1. center (1, 3), radius 5 2. center (-2, 5), radius 3 3. center ( 1 2 , 4 5 ), radius 1 4. center (0, 0), radius 5 9

Circles Day 1 Worksheet

3. Write the standard form of the equation of a circle that is tangent to the y-axis and has a center at (-5, 4).

4. Write the standard form of the equation of a circle that has its center at (7, -2) and passes through the point (12, 4).

Feb. 7, 2012 Conics: Day 2

Write the equation of the circle in standard form Write the equation of the circle in standard form. Then identify the center and radius. 1) 𝑥 2 + 𝑦 2 −2𝑥+6𝑦+9=0

Center @ (1, 3), tangent to the x axis Math III Warm Up 2/25/14 Find the center and radius of the following then graph. Write the standard form equation for each. Center @ (1, 3), tangent to the x axis 2. Center @ (-2, 1), passes through the point (3, 4) 3. 𝑥 2 + 𝑦 2 −8𝑥−2𝑦+16=0 4. 𝑥 2 + 𝑦 2 +12𝑥+32=0

1. Center @ (1, 3), tangent to the x axis

2. Center @ (-2, 1), passes through the point (3, 4)

3. 𝑥 2 + 𝑦 2 −8𝑥−2𝑦+16=0

4. 𝑥 2 + 𝑦 2 +12𝑥+32=0

Write the equation of the circle in standard form Write the equation of the circle in standard form. Then identify the center and radius. 2) 4𝑥 2 +4 𝑦 2 −24𝑥+16𝑦+51=0

Given a circle with (5, 1) and (3, -1) as the endpoints of the diameter, find the center and radius.

Assignment: pg. 628 #21-27, 35-38