Conics Ellipse

Center?

• (-3 , 2)

• (3 , -2)

• (12 , 16)

• (√12 , 4)

Vertices (endpoints of Major Axis)?

• (-3 , 6) and (-3 , -2)

• (-1 , 2) and (-5 , 2)

• (3 , 6) and (3 , 4)

• (√12 , 4) and (4 , √12)

Foci?

• (-3 , 4) and (-3 , 0)

• (3 , -4) and (3 , 0)

• (-3 , -4) and (-3 , 0)

• (-3 , 4) and (3 , 0)

Write the standard for for the equation of the ellipse with the given characteristics.

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What is the equation of the ellipse that has a horizontal semi-major axis of length five, and a semi-minor axis of length 3, that is centered at the point (6, -7)?

Mathematical Equivalence

ON

Which is the equation to find c on an ellipse?

• c² = a² + b²

• c² = a² - b²

• 1/4d

• (x-h)² + (y-k)² = r²

An ellipse has vertices at (2, 2) and (2, 8) and co-vertices at (0, 5) and (4, 5). What is the equation of the ellipse?

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?

• a = 10 , b = 6

• a = 6 , b = 10

• a = 36 , b = 100

• a = 100 , b = 36

Find the standard equation of the given ellipse

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What is the equation describing the dimensions and the foci of an ellipse?

• c² = a² + b²

• c² = a² - b²

• 4p

• (x-h)² + (y-k)² = r²