Answer
The graph of $6x^2+y^2=36$
Work Step by Step
$6x^2+y^2=36$
$\frac{x^2}{6}+\frac{y^2}{36}=1$
$36\gt6$: Major axis is vertical.
$a^2=36$
$a=6$
Vertices: $(0,±6)$
Also, when $y=0$:
$\frac{x^2}{6}+\frac{0^2}{36}=1$
$x^2=6$
$x=±\sqrt 6$
It gives us the endpoints of the minor axis: $(±\sqrt 6,0)$
