## Lilmike234 one year ago which of the following is the graph of the ellipse shown below (x+2)^2/25+(y-25)^/9=1

1. lilmike234

2. jdoe0001

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

3. jdoe0001

notice your center and your major and minor axis draw it, see which one matches

4. lilmike234

So my answer would be C because my center is (-2,5)?

5. 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

6. lilmike234

The top one is C so yes ?

7. jdoe0001

why not just draw it? and then you'd know :)

8. jdoe0001

use the center, and the values for the axis

9. lilmike234

|dw:1439249278809:dw|

10. jdoe0001

|dw:1439250208828:dw|

11. lilmike234

So just to confirm my answer which answer choice is this because there are two similar to this

12. jdoe0001

hmmm

13. jdoe0001

the major axis is 5, the longer one and is over the x-axis |dw:1439250511302:dw|

14. lilmike234

Thank you