Pre Cal (Conic Sections) Review

What is the center of the ellipse?

• (0, 0)

• (1, 5)

• (1, 0)

• (0, 1)

Write the equation of the circle with a radius of 3 and a center of (4, 2). 

• ( x - 4)² + (y - 2)² = 3
• ( x - 2)² + (y - 2)² = 3²
• ( x - 4)² + (y - 2)² = 3²
• ( x + 4)² + (y + 2)² = 3²

What is the equation of the circle shown in the graph?

• (x-3)²  + (y+4)² = 9

• (x-3)²  + (y+4)² = 3

• (x+3)²  + (y-4)² = 9

• (x+3)²  + (y-4)² = 3

• (6, -2)

• (-6, -2)

• (-2, 6) 

• (-2, -6)

• Center: (0, -2)

  a = 100

  b = 25

• Center: (0, 2)

  a = 10

  b = 5

• Center: (0, -2)

  a=10

  b=5

• Center: (0, 2)

  a=100

  b=25

The foci of an ellipse are located at (-2, 3) & (2, 3), where is the center?

• (0, 3)
• (3, 0)
• (-2, 0)
• (2, 0)

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

• 4
• 2
• 3
• 16

What is the center of the given equation?

• (h, k) = (4, 3)
• (h, k) = (-4, -3)
• (h, k) = (-4, 3)
• (h, k) = (4, -3)

Identify the center and the length of a and b.

• C: (0,4)  a= 25, b=4
• C: (0,0)  a= 4, b=25
• C: (0,5)  a= 2, b=5
• C: (0,0)  a= 5, b=2

What are the vertices of the ellipse?

• (0, 0)
• (7, 1) and (-1, 1)
• (3, -5) and (3, 7)
• (3, 1)