SOLUTION: What is the equation of an ellipse with a major axis 8 units long and foci (0,2) and (6,2).
Algebra.Com
Question 738088: What is the equation of an ellipse with a major axis 8 units long and foci (0,2) and (6,2).
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Standard Form Equation for Ellipse: . You do not yet know "b" and you do not really need it directly.
Major axis is 8, means a=4.
The given foci indicate that c=3, which is the size of half the distance from x=0 to x=6.
The center point of your ellipse, (h, k), is in the exact middle of the two foci, so this center is (3, 2).
SUMMARY OF DATA FOR YOUR ELLIPSE
Center Point (3, 2)
a=4
c=3
Fill-in the pieces into the standard form equation and simplify.
RELATED QUESTIONS
Find an equation for the ellipse with center
(3, 0),
foci
(3, ±2)
and major axis... (answered by KMST)
Find the equation of an ellipse if the major
axis is 8 units and the foci are (2, 3)... (answered by josgarithmetic)
What is the equation of an ellipse with foci at (-6,-3),(0,-3) and a major axis of length (answered by ikleyn)
Write the equation of an ellipse with foci at (-6,-3) (0,-1) and a major axis of length... (answered by ikleyn)
an ellipse has a center (0,0) and foci are located at (0,8) and (0,-8) the length of the... (answered by lwsshak3)
Equation (in graphing form) for ellipse with foci points (5,4) and (-3,4) and the major... (answered by lwsshak3,ewatrrr)
An ellipse has a center (3, 2) and foci are located at (0, 2) and (6, 2). The length of... (answered by lwsshak3)
Find the equation of the ellipse with foci (-4,2) and (4,2). The length of the major axis (answered by FrankM)
Can you help me write an equation for an ellipse with a major axis with endpoints of... (answered by venugopalramana)