Question

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

Answer 1

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\)

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

The top one is C so yes ?

Answer 6

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

Answer 7

use the center, and the values for the axis