Ellipses and Circles

Find the equation of the graph:

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Which of the following gives the standard form equation of a circle with center (-6, -4) and a radius of 16?

• (x + 6)² + (y + 4)² = 16²

• (x + 6)² + (y + 4)² = 16

• (x - 6)² + (y - 4)² = 16²

• (x - 6)² + (y - 4)² = 16

Find the standard form equation of the ellipse with vertices (2,8), (2,-2), and co-vertices (-1,3), (5,3).

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Find the standard form equation of an ellipse with the length of its minor axis = 8, and foci at (-2, + 4√3, 3).

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What is the center of the given equation?

• (4, 3)

• (-4, -3)

• (-4, 3)

• (4, -3)

Determine the center and radius:
x² + y² - 10x + 8y -8 = 0

• C = (5,-4) r = 7

• C = (-5,4) r = 7

• C = (-4,5) r = 49

• C = (5,-4) r = 49

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

• 4

• 2

• 3

• 16

Which is the equation of the circle graphed below?

• (x - 3)² + (y + 4)² = 9

• (x - 3)² + (y + 4)² = 3

• (x)² + (y)² = 9

• (x - 1)² + (y + 1)² = 7

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)
  Radius = 5 units

• Center (4,3)
  Radius = 25 units

• Center (-4,-3)
  Radius = 25 units

• Center (-4,-3)
  Radius = 5 units

Classify the conic section.

• Circle

• Ellipse

• Line

• None of these