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Lilmike234

  • one year ago

which of the following is the graph of the ellipse shown below (x+2)^2/25+(y-25)^/9=1

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  1. lilmike234
    • one year ago
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  2. jdoe0001
    • one year ago
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    hint: \(\bf \cfrac{(x-{\color{brown}{ h}})^2}{{\color{purple}{ a}}^2}+\cfrac{(y-{\color{blue}{ k}})^2}{{\color{purple}{ b}}^2}=1 \qquad center\ ({\color{brown}{ h}},{\color{blue}{ k}})\qquad vertices\ ({\color{brown}{ h}}\pm a, {\color{blue}{ k}}) \\ \quad \\ \cfrac{(x+2)^2}{25}+\cfrac{(y-5)^2}{9}=1\implies \cfrac{(x-{\color{brown}{ -2}})^2}{{\color{purple}{ 5}}^2}+\cfrac{(y-{\color{blue}{ 5}})^2}{{\color{purple}{ 3}}^2}=1\)

  3. jdoe0001
    • one year ago
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    notice your center and your major and minor axis draw it, see which one matches

  4. lilmike234
    • one year ago
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    So my answer would be C because my center is (-2,5)?

  5. jdoe0001
    • one year ago
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    well.. notice your center coordinate -2 , 5 x y check C's center, do they match? if they do, then their center is the same

  6. lilmike234
    • one year ago
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    The top one is C so yes ?

  7. jdoe0001
    • one year ago
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    why not just draw it? and then you'd know :)

  8. jdoe0001
    • one year ago
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    use the center, and the values for the axis

  9. lilmike234
    • one year ago
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    |dw:1439249278809:dw|

  10. jdoe0001
    • one year ago
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    |dw:1439250208828:dw|

  11. lilmike234
    • one year ago
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    So just to confirm my answer which answer choice is this because there are two similar to this

  12. jdoe0001
    • one year ago
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    hmmm

  13. jdoe0001
    • one year ago
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    the major axis is 5, the longer one and is over the x-axis |dw:1439250511302:dw|

  14. lilmike234
    • one year ago
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    Thank you

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