Ellipses continued (Conic Sections)
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Algebra 2
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What is the equation of the ellipse having a center at (0,0), a major axis of 8, a minor axis of 6, with the major axis overlapping the x-axis?
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1 point
x²/64 + y²/36 = 1
x²/8 + y²/6 = 1
x²/4 + y²/3 = 1
x²/16 + y²/9 = 1
What are the foci of the ellipse having a center at (0,0), a major axis of 8, a minor axis of 6, with the major axis overlapping the x-axis?
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(It's the same ellipse as the previous problem.)
1 point
(0, ±√7)
(±√7, 0)
(±5, 0)
(0, ±5)
What is the equation of the ellipse having vertices: (1,3) and (1,–7) and (–1,–2) and (3,–2)?
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(Hint: graphing this will help. From the graph, you can get the center, then determine how far the center is from each vertex to help formulate your equation.)
1 point
(x–1)²/4 + (y+2)²/10 = 1
(x–1)²/4 + (y+2)²/25 = 1
(x–1)²/8 + (y+2)²/50 = 1
(x+1)²/2 + (y–2)²/5 = 1
What are the foci of the ellipse having vertices: (1,3) and (1,–7) and (–1,–2) and (3,–2)?
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(It's the same ellipse as the previous problem.)
1 point
(–1 ± √21, 2)
(–1, 2 ± √29)
(1 ± √29, –2)
(1, –2 ± √21)
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