Question

Complete the square in each equation below. Write an equation in standard form for each circle. Then, give its center and its radius

Answer 1

Q1: x² + (y - 3)² = 4
Steps:
x² + y² - 6y = -5
x² + y² - 6y + 9 = 4
x² + (y² - 6y + 9) = 4
x² + (y - 3)² = 4
Center: (0, 3)
Radius: 2
Q1: x² + (y + 2)² = 8
Steps:
x² + y² + 4y = 12
x² + y² + 4y + 4 = 8
x² + (y² + 4y + 4) = 8
x² + (y + 2) = 8
Center: (0, -2)
Radius: 2√2