Discuss the graph of the ellipse with foci at (2, 3) and (2, −1) and an endpoint of the
minor axis at (4, 1).

: Finding the Equation of a Conic Find an equation for the conic section with the given properties.

The ellipse with foci and and with one vertex on the x-axis

Find the standard form of the equation of an ellipse with foci at and major axis length of 22.

The graph of the equation is an ellipse with vertices (_ _ _  _ , _ _  _ _) and  (_ _ __ _ , _ _  _ _) and foci , where c =  (_ _  _ _ ,  _ _ _ _). So the graph of  is an ellipse with vertices  (_  _ _ _ , _ _  _ _) and  (_ _  _ _ , _ __ _ _) and foci  (_ _ _ _ , _ _ __ _), and  (_ _ _ _ _ , _  _ _).