Circles and Ellipses Applications

What is the coordinates of the centre and the radius of the circle with equation:
(x + 2)² + (y + 5)² = 16?

• Centre  (2,5)
  Radius = 16 units

• Centre (2,5)
  Radius = 4 units

• Centre (-2,-5)
  r = 16 units

• Centre (-2,-5)
  Radius = 4 units

What is the coordinates of the centre and the radius of the circle with equation:
(x + 3)^2 + (y + 1)^2 = 2^2 ?

• Centre  (-3,-1)
  Radius = 4 units

• Centre  (3,1)
  Radius = 2 units

• Centre  (-3,-1)
  Radius = 2 units

• Centre  (3,1)
  Radius = 4 units

What is the center of the ellipse?

• (0, 0)

• (1, 5)

• (1, 0)

• (0, 1)

Given the following, write the equation of the ellipse.

• A

• B

• C

• D

What are the foci of the shifted ellipse?

• (-5,1) and (-1,1)

• (±√3,0)

• (0,1) and (-6,1)

• (√3 - 3,1) and (-√3 - 3,1)

See Picture

• A

• B

• C

• D

What is the center of the given equation?

• (h, k) = (4, 3)

• (h, k) = (-4, -3)

• (h, k) = (-4, 3)

• (h, k) = (4, -3)

What is the equation for the focus points on an ELLIPSE?

• c² = a² + b²

• c² = a² - b²

• 1/4d

• (x-h)² + (y-k)² = r²

Find the equation of the graph:

• 
• 
• 
• 

The ellipse has vertices at _____.

• (+2, 0)

• (+3, 0)

• (0, +2)

• (0, +3)