How do I graph the ellipse with the equation (x−6)^2/36+(y+4)^2/16=1?

The center of the ellipse is $\left(6 , - 4\right)$.
The $\sqrt{36}$ is $6$ so you have to move 6 units right and left from the center, $\left(6 + 6 , - 4\right)$ and $\left(6 - 6 , - 4\right)$ for the points $\left(12 , - 4\right)$ and $\left(0 , - 4\right)$.
The $\sqrt{16}$ is $4$ so you have to move 4 units up and down from the center, $\left(6 , 4 - 4\right)$ and $\left(6 , - 4 - 4\right)$for the points $\left(6 , 0\right)$ and $\left(6 , - 8\right)$.