Ellipses

Center (h, k)

The standard form of an ellipse centered at (h, k) with its major axis parallel to the x-axis is center_1 .

The standard form for an ellipse centered at (h, k) with a major axis parallel to the y-axis is center_2 .

The rules of translation also apply to conic sections. For instance, if x is replaced with x ? h, the ellipse moves to the right by h. Use the generalizations below to determine the properties of an ellipse.

Horizontal Major Axis