PreCal 8.2 Ellipses Quiz Review

Find the equation of the ellipse in the graph shown.

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The graph shows an ellipse, find these key features:

- co-vertices

- major axis length

• co-vertices:

  (6,4) & (-2,4)

  major axis length: 16

• co-vertices:

  (2,12) & (2,-4)

  major axis length: 16

• co-vertices:

  (2,12) & (2,-4)

  major axis length:

  8

• co-vertices:

  (6,4) & (-2,4)

  major axis length: 8

• Vertices:

  (0,6) & (0,-6)

  foci:

  (0,4√2) & (0, -4√2)

• Vertices:

  (0,12) & (0,-12)

  foci:

  (4√2,0) & (-4√2,0)

• Vertices:

  (12,0) & (-12,0)

  foci:

  (0,4√2) & (0, -4√2)

• Vertices:

  (6,0) & (-6,0)

  foci:

  (4√2,0) & (-4√2,0)

• vertices:

  (-4±√15, 9)

  foci:

  (-4, 9±√14 )

• vertices:

  (-4±√15, 9)

  foci:

  (-4±√14, 9)

• vertices:

  (-4, 9±√15)

  foci:

  (-4, 9±√14)

• vertices:

  (-4±√14, 9)

  foci:

  (-4±√15, 9)

Find an equation in standard form for the ellipse that satisfies the given conditions:

-minor axis length 10 on the x-axis

-major axis length 14

Find an equation in standard form for the ellipse that satisfies the given conditions:

-foci: (0, ±5)

-major axis length: 16

Find an equation in standard form for the ellipse that satisfies the given conditions:

-major axis endpoints (-6, 7) & (-6, 3)

-minor axis length 2

Find an equation in standard form for the ellipse that satisfies the given conditions:

-major axis endpoints (4, 2) & (-6, 2)

-foci: (2, 2) & (-4, 2)

Find an equation in standard form for the ellipse that satisfies the given conditions:

-major axis endpoints (7, 3) & (7, 19)

-minor axis length 10