Problem 28E
Graphing ellipses Sketch the graph of the following ellipses. Plot and label the coordinates of the vertices and foci, and find the lengths of the major and minor axes. Use a graphing utility to check your work.
Solution 28E
Step 1:
In this problem we have to draw the graph of an ellipse +=1, and we have to label the vertices, foci and the lengths of the major and minor axis.
Note ; We know that Standard form of an ellipse is ; + =1.In this case a > b , and =) , e < 1.
Center is ;(0,0) , vertices are ;( a, 0) ,(a,0) , and foci is ( ae, 0) (ae,0).
Length of the major axis is 2a , and the length of the minor axis is 2b.
