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Math Help - Please assist

  1. #1
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    Please assist

    Find the vertices of the ellipse x2(square)/4 + y2(square)/25=1

    Choices
    a. V(0,+5)
    b. V(0,+25)
    c. V(+2.0)
    d. V(+4,0)
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  2. #2
    Super Member

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    Hello, ccdalamp!

    Find the vertices of the ellipse: . \frac{x^2}{4} + \frac{y^2}{25}\;=\;1

    Choices: . a)\;V(0,\,\pm5)\qquad b)\;V(0,\,\pm25) \qquad c)\; V(\pm2,\,0)\qquad d)\;V(\pm4,\,0)
    The center of the ellipse is the origin: (0,\,0)

    The denominator of the x-fraction is: . a^2 = 4\quad\Rightarrow\quad a = \pm 2

    The denominator of the y-fraction is: . b^2 = 25\quad\Rightarrow\quad b = \pm5

    Since the larger denominator is "under the y", the major axis is vertical.
    . . The vertices are always the ends of the major axis.

    Hence, the vertices are 5 units above and below the center: . (0,\,\pm5)

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