SOLUTION: Write the equation of the ellipse in standard form that satisfies the given conditions. Draw the ellipse, its focus, and directrix.
2.) The vertices are at (3,-3) and (3,5) and
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Question 1045393: Write the equation of the ellipse in standard form that satisfies the given conditions. Draw the ellipse, its focus, and directrix.
2.) The vertices are at (3,-3) and (3,5) and the length of the minor axis is 6.
Please help me with my homework :'( Thank you so much. It would really sooooo much to me and would be greatly appreciated ^_^
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Standard Form of an Equation of an Ellipse is
where Pt(h,k) is the center. (a variable positioned to correspond with major axis)
a and b are the respective vertices distances from center.
The foci distances from center: c = ± where a > b
eccentricity = c/a
vertices are at (3,-3) and (3,5) |major axis 8, Center: (3,1) a = 4
minor axis is 6 | b = 3
c = ± , c = ± c = ±
foci: (3, 1- ) and (3, 1+ )
The directrices are a distance aČ/c in both directions from the center of the ellipse.
directrix: y = 1 + 16/) and y = -3 - sqrt(7
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