Question 1161844: Find, in standard form, the equation of:
The ellipse with vertices at (1,-1) and (7,-1) and foci at (4+/- √5,-1)
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
The major axis is horizontal, so the general equation is
The center is (h,k)
a is the semi-major axis
b is the semi-minor axis
c is the distance from the center to each focus
The given information gives us, immediately or with very little work, (h,k) = (4,-1), a = 3, and c = sqrt(5).
Use the known values of a and c to determine b; then you will have all you need to write the equation.
|
|
|
