Step-by-step Answer
PAGE: 438SET: ExercisesPROBLEM: 1
Please look in your text book for this problem Statement

The standard form of vertical ellipse is .




  : length of semi major axis,

: length of semi minor axis,

Center : ,

Foci : ,

Vertices : ,

Co-vertices : ,

Major axis : ,

Minor axis : .

The ellipse equation is .

Rewrite the above equation as .

Compare the equation with .

and .


Use these values to determine the characteristics of the ellipse.

Since , it is a vertical ellipse.

Center : .

Foci : .

Vertices : .

Co-vertices : .

Major axis : .

Minor axis : .

Graph the center, vertices, foci, and axes.

Make a table of values to sketch the ellipse.

The ellipse equation is .

Solve for .


Plot the points and sketch the ellipse.

Graph :

Graph of :


Graph of :



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