Step 1 :The standard form of the equation of an ellipse centered at the origin with semi-major axis a and semi-minor axis b is given by: \[\boxed{\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1}\]
Step 2 :The foci of the ellipse are located at the points (±c, 0), where c is the distance from the center of the ellipse to each focus. The value of c can be found using the relationship: \[\boxed{c = \sqrt{a^2 - b^2}}\]