SOLUTION: Find the ellipse equation with ends of minor axis at (-1,2) and (-1,-4) and focus at (1,-1)

Question 868193: Find the ellipse equation with ends of minor axis at (-1,2) and (-1,-4) and focus at (1,-1)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the ellipse equation with ends of minor axis at (-1,2) and (-1,-4) and focus at (1,-1)
Given data shows ellipse has a horizontal major axis.
Its standard form of equation: ,a>b, (h,k)=cooordinates of center
y-coordinate of center=-1 (midpoInt of 2 and -4 on the minor axis)
x-coordinate of center=-1
center: (-1,-1)
c=2
c^2=4
b=3
b^2=9
c^2=a^2-b^2
a^2=c^2+b^2=4+9=13
Equation of given ellipse:

RELATED QUESTIONS
locate the center, foci, vertices, and ends of the latera recta of the ellipse. find the... (answered by KMST)

find the equation of the ellipse if the endpoints of minor axis are (1,3) and (1,-1) with (answered by mccravyedwin)

Endpoints of minor axis (1, 3) and (1, -1), focus at (-1, 1). Find the equation of the... (answered by MathLover1)

determine the standard equation of the ellipse that has the ends of its minor axis at... (answered by lwsshak3)

Find the equation of the ellipse if the endpoints of minor axis are (1,3) and (1,-1) with (answered by MathLover1)

15. find the standard form of the equation of the ellipse with center at the origin,... (answered by lwsshak3)

Foci at (2, 3) and (2, -1), endpoint of minor axis (4, 1). Find the equation of the... (answered by MathLover1,greenestamps)

Find the equation of the ellipse with vertices (0, -1) and (12, -1) and minor axis of... (answered by ewatrrr)

find the equation of the ellipse with center (-2,3) major axis vertical; length of major... (answered by lwsshak3)