Question

I need this practice problem answered I will provide another pic with the answer optionsMy subject is PRE CALC!

Answer 1

The ellipse looks like this:

The general format of a vertical ellipse takes the form:

`((x-h)^2)/(b^2)+((y-k)^2)/(a^2)`

With center coordinates as (h,k)

By comparing the equation given:

`((x-6)^2)/(36)+((y+3)^2)/(100)=1`
`\begin{gathered} -h=-6 \\ h=6 \\ -k=+3 \\ k=-3 \\ \text{The center is (6,-3)} \end{gathered}`

The endpoints of the major axis are 10 units from the center.

The endpoints of the minor axis are 6 units from the center.

To graph the ellipse, connect (12,-3) , (6,-13) , (0,-3) , (6,7) with a smooth curve.