Ellipses and Circles Practice

Find the equation of the graph:

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Tags

CCSS.HSG.GPE.A.3

The ellipse has vertices at _____.

• (+2, 0)

• (+3, 0)

• (0, +2)

• (0, +3)

Find the length of the ellipse's major axis.

• 3 units

• 6 units

• 9 units

• 18 units

Tags

CCSS.HSG.GPE.A.3

Find the location of the foci of the ellipse.

• (0, +√5)

• (+5, 0)

• (+√5, 0)

• (0, +5)

Tags

CCSS.HSG.GPE.A.3

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

Which of the following statements is false about the ellipse?

• The length of the minor axis is 4.

• The set of all x-values is [-6, 2].

• The y-intercepts are at (0, 2+ √3).

• The foci are at (-2 + 2√2, 2).

Tags

CCSS.HSG.GPE.A.3

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 eccentricity of the ellipse?

• 0.63

• 0.79

• 0.86

• 0.74

Graph the ellipse:

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Tags

CCSS.HSG.GPE.A.3