SOLUTION: Find the standard form of the equation of the ellipse with the given characteristics. vertces: (-3, -10), (-3,0) minor axis of length 4 Please help with this problem.

Question 438131: Find the standard form of the equation of the ellipse with the given characteristics.
vertces: (-3, -10), (-3,0) minor axis of length 4
Please help with this problem.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the standard form of the equation of the ellipse with the given characteristics.
vertces: (-3, -10), (-3,0) minor axis of length 4
Please help with this problem.
..
Given information shows this is an ellipse with center at (-3,-5), and its major axis is vertical.
Standard form of the equation for this ellipse: (x-h)^2/a^2+(y-k)^2/b^2=1 (a>b), where (h,k) are the (x,y) coordinates of the center.
length of major axis=10=2a
a=5
a^2=25
length of minor axis=4=2b
b=2
b^2=4
c^2=a^2-b^2=25-4=21
c=sqrt(21)=4.58..(length of foci)
Equation:
(x+3)^2/25+(y+5)^2/4=1
See graph of this ellipse below:
..
y=+-(4(1-(x+3)^2/25))^.5-5

RELATED QUESTIONS
Find the standard form of the equation of the ellipse satisfying the given conditions. (answered by ikleyn)

Find the standard form of the equation of the ellipse with the given characteristics? (answered by greenestamps)

Find the standard form of the equation of the ellipse with the given characteristics and... (answered by pavan sai reddy,greenestamps)

Find the standard form of the equation of the ellipse with the given characteristics and... (answered by MathLover1)

Find the standard form of the equation of each ellipse. 14. Major axis horizontal with... (answered by ikleyn)

Find the Standard Form of the equation of the ellipse with the given characteristics and... (answered by lwsshak3)

Find the standard form of the equation of the ellipse with the given characteristics... (answered by robertb)

Find the standard form of the equation of the ellipse with the given characteristics.... (answered by ikleyn)

Find an equation for the ellipse that satisfies the given conditions. Foci (0, �3),... (answered by lwsshak3)