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anonymous

  • one year ago

I need help writing equations for ellipses when I am given information. I am doing a review for a Clep exam and I am completely blanking. Please Help!!!

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  1. anonymous
    • one year ago
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    @ganeshie8

  2. anonymous
    • one year ago
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    @nincompoop

  3. anonymous
    • one year ago
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    @mathmate

  4. anonymous
    • one year ago
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    @satellite73

  5. anonymous
    • one year ago
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    Ok... My first question is this: Write the equation of an ellipse with center (2,1); vertex (7,1) and focus (5,1). I know that this is how I start, knowing the center, but what next: \[\frac{ (x-2)^2 }{ ? } + \frac{ (y-1)^2 }{ ? } = 1\]

  6. anonymous
    • one year ago
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    @UsukiDoll

  7. anonymous
    • one year ago
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    Hi @mathmate can you help?

  8. anonymous
    • one year ago
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    SOMEONE PLEASE HELP ME!!!!!!!

  9. mathmate
    • one year ago
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    |dw:1439810100002:dw| For an ellipse centred at origin, f=sqrt(a^2-b^2)

  10. anonymous
    • one year ago
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    OK how to I find a^2 and b^2

  11. anonymous
    • one year ago
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    And my center is not at the origin btw, but thats ok

  12. mathmate
    • one year ago
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    Since F is on the x-axis, "a" is the distance of the vertex (along the x-axis) from the centre, so a=(7-2)=5. F is at (5-2)=3 units along the x-axis from the centre, so f=3. B is on the y-axis, at a distance b=sqrt(a^2-f^2) (same as f=sqrt(a^2-b^2)). The ellipse is shown in the diagram. The centre elsewhere is easy to adjust, as you have already done.

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