Ellipses and Circles

Find the equation of the graph:

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Tags

CCSS.HSG.GPE.A.1

Find the length of the ellipse's major axis.

• 3 units

• 6 units

• 9 units

• 18 units

Tags

CCSS.HSG.GPE.A.1

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

Tags

CCSS.HSG.GPE.A.1

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.1

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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Tags

CCSS.HSG.GPE.A.1

Graph the ellipse:

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Tags

CCSS.HSG.GPE.A.1

• horizontal

• vertical

Tags

CCSS.HSG.GPE.A.1

• (2, 1)

• (-2, -1)

• (5, 6) 

• (-3, -5)

Tags

CCSS.HSG.GPE.A.1

Write the standard form equation of an ellipse that has:

center (-5, 6)

vertex (-5, -4)

co-vertex (-13, 6)

Tags

CCSS.HSG.GPE.A.1

What are the vertices of the ellipse?

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

Tags

CCSS.HSG.GPE.A.1