Lilmike234
  • Lilmike234
which of the following is the graph of the ellipse shown below (x+2)^2/25+(y-25)^/9=1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Lilmike234
  • Lilmike234
jdoe0001
  • jdoe0001
hint: \(\bf \cfrac{(x-{\color{brown}{ h}})^2}{{\color{purple}{ a}}^2}+\cfrac{(y-{\color{blue}{ k}})^2}{{\color{purple}{ b}}^2}=1 \qquad center\ ({\color{brown}{ h}},{\color{blue}{ k}})\qquad vertices\ ({\color{brown}{ h}}\pm a, {\color{blue}{ k}}) \\ \quad \\ \cfrac{(x+2)^2}{25}+\cfrac{(y-5)^2}{9}=1\implies \cfrac{(x-{\color{brown}{ -2}})^2}{{\color{purple}{ 5}}^2}+\cfrac{(y-{\color{blue}{ 5}})^2}{{\color{purple}{ 3}}^2}=1\)
jdoe0001
  • jdoe0001
notice your center and your major and minor axis draw it, see which one matches

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Lilmike234
  • Lilmike234
So my answer would be C because my center is (-2,5)?
jdoe0001
  • jdoe0001
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
Lilmike234
  • Lilmike234
The top one is C so yes ?
jdoe0001
  • jdoe0001
why not just draw it? and then you'd know :)
jdoe0001
  • jdoe0001
use the center, and the values for the axis
Lilmike234
  • Lilmike234
|dw:1439249278809:dw|
jdoe0001
  • jdoe0001
|dw:1439250208828:dw|
Lilmike234
  • Lilmike234
So just to confirm my answer which answer choice is this because there are two similar to this
jdoe0001
  • jdoe0001
hmmm
jdoe0001
  • jdoe0001
the major axis is 5, the longer one and is over the x-axis |dw:1439250511302:dw|
Lilmike234
  • Lilmike234
Thank you

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