Question 1044355: Write the equation of the ellipse in standard form that satisfies the given conditions. Draw the ellipse, its focus, and directrix.
1.) The center is at (2,4), a vertex is at (-11,4), and the length of the minor axis is 24.
*Please help me solve this :( It would really mean so much to me. I badly need help in Math.
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! the equation of the ellipse in standard form is:
( , ) coordinates of the center
if the center is at ( , ), means  and  and so far you have
if the length of the minor axis is  , and we know that the semi-minor axis is half of the minor axis, so
The points where the major axis touches the ellipse are the "vertices" of the ellipse. The point midway between the two sticks is the "center" of the ellipse, and if a vertex is at ( ,), center is at (,), distance from to is  , than
substitute  and 
 -> your answer
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