SOLUTION: Which of these is the standard form equation for an ellipse with foci at (3, 0) and (-3, 0), and vertices at (4, 0) and (-4, 0)?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Which of these is the standard form equation for an ellipse with foci at (3, 0) and (-3, 0), and vertices at (4, 0) and (-4, 0)?      Log On


   



Question 848107: Which of these is the standard form equation for an ellipse with foci at (3, 0) and (-3, 0), and vertices at (4, 0) and (-4, 0)?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
major axis: a = 4
(3,0)and (-3,0); and 6/2 = 3, foci distance from center
9=+16+-b%5E2 b^2 = 7
%28x%29%5E2%2F16+%2B+y+%5E2%2F7=+1

Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+
where Pt(h,k) is the center. (a variable positioned to correspond with major axis)
a and b are the respective vertices distances from center
and ±sqrt%28a%5E2-b%5E2%29are the foci distances from center: a > b