9x2+4y2 = 36 the foci are located at:

The foci are located at

Step-by-step explanation:

The standard equation of an ellipse with a vertical major axis is where .

The given equation is .

To obtain the standard form, we must divide through by 36.

We simplify by canceling out the common factors to obtain;

By comparing this equation to

We have .

To find the foci, we use the relation:

This implies that:

The foci are located at

Therefore the foci are

Or

and

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .