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.
|
|
|
