Ellipse Review (11/15/24)

Front

What is the standard form of the equation of an ellipse centered at (h, k)?

Back

Front

What do the variables a and b represent in the ellipse equation?

Back

Front

How do you find the foci of an ellipse?

Back

Front

What is the relationship between the lengths of a, b, and c in an ellipse?

Back

Front

Back

The center of the ellipse is (4, -3).

Front

If an ellipse is translated 3 units to the left and 2 units down, how does the center change?

Back

The new center will be (h-3, k-2) if the original center is (h, k).

Front

What is the major axis of an ellipse?

Back

The major axis is the longest diameter of the ellipse, which passes through the foci and the vertices.

Front

What is the minor axis of an ellipse?

Back

The minor axis is the shortest diameter of the ellipse, perpendicular to the major axis at the center.

Front

How do you determine if an ellipse has a horizontal or vertical major axis?

Back

If a > b, the major axis is horizontal; if b > a, the major axis is vertical.

Front

Back

The endpoints of the minor axis are (2, 1+2) and (2, 1-2), which are (2, 3) and (2, -1).