Conic Sections (circles, ellipses, hyperbolas) Review

What is the equation for a circle with a center of (-9,0) and a radius of 1?

• (x + 9)² + (y - 1)² = 1
• (x - 9)² + y² = 1
• (x + 9)² + y² = 4
• (x + 9)² + y² = 1

Which of the following is the equation of a circle with a center at (0, 0) and a radius of 7?

• x² + y² = 49

• x² + y² = 7

• (x + 7)² + y² = 49

• (x - 7)² + y² = 0

Find the equation of a circle with a center at (5, 5) and a radius of 3.

• (x - 5)² + (y - 5)² = 3

• (x - 5)² + (y - 5)² = 9

• (x + 5)² + (y + 5)² = 3

• (x + 5)² + (y + 5)² = 9

Given x²/64 + y²/9 = 1 What is the center?

• (3, -3)
• (-4, 2)
• (0, 0)
• (1, 1)

Given x²/64 + y²/9 = 1 What are the vertices?

• (0, 5)
• (10, 0)
• (4, 4)
• (8, 0), (-8, 0)

Given x²/64 + y²/9 = 1 What are the co-vertices?

• (3, 0) and (-3, 0)
• (0, 2) and (0, -2)
• (0, 3) and (0, -3)
• (4, 0) and (-4, 0)

Given (x + 1)²/25 + (y+1)²/49 = 1, what is the center?

• (0, 0)
• (-1, -1)
• (-1, 0)
• (1, -1)

Given (x + 1)²/25 + (y+1)²/49 = 1, what are the vertices?

• (-1, 5)
• (-2, -1)
• (-1, 6), (-1, -8)

• (3, -1)

Given (x + 1)²/25 + (y+1)²/49 = 1, what are the co-vertices?

• (0, -1)
• (-6, -1), (4, -1)

• (-6, 1)
• (4, 1)

Given x²/64 - y²/16 = 1 what is the center?

• (3, -3)
• (0, 0)
• (1, 1)
• (-4, 2)