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

1. anonymous

2. anonymous

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. anonymous

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

4. anonymous

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

5. anonymous

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. anonymous

The top one is C so yes ?

7. anonymous

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

8. anonymous

use the center, and the values for the axis

9. anonymous

|dw:1439249278809:dw|

10. anonymous

|dw:1439250208828:dw|

11. anonymous

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

12. anonymous

hmmm

13. anonymous

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

14. anonymous

Thank you