Precalculus
Activity 1: Intro to Conics and Circle
Name: _______________________________________Grade & Section:___________
A.
Directions: Transform the equations of the circles to their standard form. Identify
the center and radius of the circles. Show your complete solution.
Equation
Standard Form
Center
Radius
𝑥 2 + 𝑦 2 − 14𝑥 + 4𝑦 = 11
𝑥 2 + 𝑦 2 + 2𝑥 − 6𝑦 = −6
𝑦 2 − 6𝑦 − 1 = 8𝑥 − 𝑥 2 + 3
𝑥 2 + 𝑦 2 − 7𝑥 − 2𝑦 = 0
𝑥 2 + 𝑦 2 − 9𝑥 = 7𝑦 − 4𝑦
B.
Directions: Transform the equations of the circles to their general form. Identify the
center and radius of the circles. Show your complete solution.
Equation
(𝑥 − 3)2 + (𝑦 − 1)2 = 8
(𝑥 + 3)2 + (𝑦 + 2)2 = 16
3 2
1 2
(𝑥 + ) + (𝑦 − ) = 10
4
2
2
1
(𝑥 − 1)2 + (𝑦 − ) = 9
5
2
3
4 2
(𝑥 + ) + (𝑦 − ) = 7
8
5
General Form
Center
Radius