Answer: The equation of an ellipse with major axis of length 2, minor axis of length 5, center at (-1, -2), and major axis aligned with the vertical axis, can be given by:
((x + 1)/2)^2 + ((y + 2)/5)^2 = 1
The standard form of an ellipse is:
(x^2)/a^2 + (y^2)/b^2 = 1,
where a and b are the lengths of the major and minor axes, respectively. To convert the equation to this form, we can divide both the x and y terms by the corresponding axis lengths, and shift the center of the ellipse to the origin.
Explanation: