Use the graph to write and equation for each conic section. .

Question #5:  The center of this ellipse is (4,2).  The ellipse is vertically oriented.  What is the distance (a) from the center (4,2) to the upper vertex of the ellipse?  What is the distance (b) from the center (4,2) to the right hand vertex of the ellipse?

The equation of this ellipse is

(y-4)^2      (x-4)^2
 +   = 1, where (a and b are determined above).
    a^2           b^2