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Ellipse

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    Pre Calculus
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  • What is the equation of the ellipse with center at (3, -4) with a length of the vertical semi-major axis  = 4 and a length of horizontal semi-minor axis = 2?
    ((x-3)^2/4) + ((y+4)^2/16 = 1
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  • What is the equation of the ellipse with center at (0, 0) with a length of the vertical semi-major axis  = 3 and a length of horizontal semi-minor axis = 1?
    (x^2/1) + (y^2/9)=1
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  • What is the equation of the ellipse with center at (-1, 3) with a length of the horizontal major axis  = 12 and a length of vertical minor axis = 10?
    3x+10
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  • What is the equation of the ellipse with center at the origin with a length of the horizontal major axis  = 10 and a length of vertical minor axis = 8?
    (x^2/25) + (y^2/16) =1
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  • Where is the major axis of the ellipse with the equation: ((y+5)^2/4) + ((x+6)^2/9) = 1?
    parallel to the x-axis
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  • To write x^2+9y^2=18 in the standard form of the ellipse, with what value should the whole equation be divided by? What will be the value of b^2?
    18, b^2=2
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  • Given the equation of the ellipse: ((y+5)^2/4) + ((x+6)^2/9) = 1, give the coordinates of the center
    2x-6
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  • Given the equation of the ellipse: (x^2/9) + (y^2/4) = 1, give the coordinates of the center, one vertex, and one co-vertex.
    C(0, 0), V(3, 0), B(0, 2)
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