How do you find the particular equation of the conic: Ellipse with vertices (4-2) and (4,8) and a minor axis 6.

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Tony -Sketch a picture of the major axis.  It is the horizontal line between the vertices.  The midpoint of this line is the CENTER of the ellipse (4,3).  Now you know (h,k) = (4,3), agree?Half the length of the major axis is called a and in this problem it equals 10/2 = 5 = a.You also know the length of the minor axis is 6, so that means b = 6/2 = 3So, now you have everything you need for the standard form of an ellipse: h, k, a, and b.I'll leave it for you to finish the problem.Hope that helps