Question 842613: Determine the equation of an ellipse in standard form with the given vertices (-3,5) and (-3,-1) and eccentricity 1÷3 Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Determine the equation of an ellipse in standard form with the given vertices (-3,5) and (-3,-1) and eccentricity 1÷3
Given data shows ellipse has a vertical major axis.
Its standard form: , a>b, (h,k)=(x,y) coordinates of center
x-coordinate of center=-3
y-coordinate of center=2(midpoint between 5 and -1 on the vertical major axis)
center:(-3,2)
length of vertical major axis=6=2a
a=3
a^2=9
c/a=1/3
c=a/3=3/3=1
c^2=1
c^2=a^2-b^2
b^2=a^2-c^2=9-1=8
Equation of given ellipse:
(