Conics Ellipse

What are the foci of this ellipse. Add them to your graph and finish sketching the ellipse.

• (-8.3, 5), (4.3, 5)

• (-1.8, -1), (9.8, -1)

• (-2, 11.3), (-2, -1.3)

• (4, 4.8), (4, -6.8)

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CCSS.HSG.GPE.A.1

The major axis for an ellipse with the following vertices and foci would be                               

Vertices ( -7, -3), (13, - 3)
Foci   ( - 5, -3 ) , (11 , -3)

• vertical

• horizontal 

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CCSS.HSG.GPE.A.1

Questions #15-20 will guide you through graphing this ellipse. Write your answers down and start sketching the graph as you answer each question. What is the center of this Ellipse? Plot it.

• (0, 0)

• (1, 5)

• (1, 0)

• (0, 1)

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CCSS.HSG.GPE.A.1

Is the major axis vertical or horizontal? 

• vertical

• horizontal

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CCSS.HSG.GPE.A.1

What are the vertices of the ellipse? Plot them.

• (1, 5) and (1, -5)

• (0, 0) and (2, 0)

• (4, 0) and (6, 0)

• (1, 6) and (1, 4)

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CCSS.HSG.GPE.A.1

What are the co-vertices of the ellipse? Plot them.

• (1, 5) and (1, -5)

• (0, 0) and (2, 0)

• (4, 0) and (6, 0)

• (1, 6) and (1, 4)

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CCSS.HSG.GPE.A.1

What are the foci of this ellipse. Add them to your graph and finish sketching the ellipse.

• (4.9, 1), (-4.9, 1)

• (1, -4.9), (1, 4.9)

• (5.9, 0), (-3.9, 0)

• (4.9, 0), (-4.9, 0)

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CCSS.HSG.GPE.A.1

Questions 10-13 will walk you through writing an equation for this an ellipse with these key features. Find the center of an ellipse with the following vertices and foci would be  Vertices ( -7, -3), (13, - 3) foci ( - 5, -3 ) , (11 , -3)

• (10 , 6)

• ( - 3, 3)

• (3, - 3)

• (6, -6)

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CCSS.HSG.GPE.A.1

What is the standard form equation for the following ellipse? x^2+16y^2+2x-96y+129=0

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CCSS.HSG.GPE.A.1

Does your graph look like this? It should! Notice the foci are very close to the vertices because the ellipse is stretched a lot more in the vertical direction than the horizontal.

• 
• 

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CCSS.HSG.GPE.A.1