Ellipses in Standard Form (Algebra 2)
Free printable Algebra 2 worksheet on identifying the centre, vertices, co-vertices and foci of an ellipse from standard form (x - h)²/a² + (y - k)²/b² = 1, with an accurate graph.
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Algebra 2 · Math worksheet
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Math
Conic Sections: Ellipses in Standard Form
For each ellipse, identify the centre, the vertices (ends of the major axis), the co-vertices (ends of the minor axis), and the foci. Recall c² = |a² - b²| with the foci on the major axis.
- 1.For the ellipse (x + 1)²/36 + (y + 2)²/4 = 1, state the centre, the vertices, the co-vertices, and the foci.
- 2.For the ellipse (x - 3)²/25 + (y + 2)²/36 = 1, state the centre, the vertices, the co-vertices, and the foci.
- 3.For the ellipse x²/36 + (y + 1)²/9 = 1, state the centre, the vertices, the co-vertices, and the foci.
- 4.For the ellipse (x - 3)²/4 + (y - 1)²/36 = 1, state the centre, the vertices, the co-vertices, and the foci.
- 5.For the ellipse (x - 3)²/36 + (y - 3)²/16 = 1, state the centre, the vertices, the co-vertices, and the foci.
- 6.For the ellipse (x - 1)²/16 + (y + 3)²/36 = 1, state the centre, the vertices, the co-vertices, and the foci.
- 7.For the ellipse (x - 3)²/25 + (y - 1)²/16 = 1, state the centre, the vertices, the co-vertices, and the foci.
- 8.For the ellipse (x - 2)²/9 + y²/16 = 1, state the centre, the vertices, the co-vertices, and the foci.
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