Find the equation of the ellipse with the following properties. the ellipse with foci at (4, 0) and (-4, 0); y-intercepts (0, 3) and (0, -3).

The equation of ellipse is .

Step-by-step explanation:

The center of ellipse is origin because the ellipse has foci at (4, 0) and (-4, 0); y-intercepts (0, 3) and (0, -3).

The general equation of an ellipse is

Where, a is major axis and b is minor.

The y-intercepts are (0, 3) and (0, -3). So, the value of b is 3.

The foci of ellipse is .The relation between foci and major, minor axis is

The equation of ellipse is

wheres graph

step-by-step explanation: