SOLUTION: I need help asap :) Write an equation of an ellipse centered at the origin satisfying the given conditions: (+/- is plus minus) Foci: (+/- 1, 0) co-verticies: (0,+/- 4) Thank yo

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I need help asap :) Write an equation of an ellipse centered at the origin satisfying the given conditions: (+/- is plus minus) Foci: (+/- 1, 0) co-verticies: (0,+/- 4) Thank yo      Log On


   

Question 1004817: I need help asap :)
Write an equation of an ellipse centered at the origin satisfying the given conditions: (+/- is plus minus)
Foci: (+/- 1, 0) co-verticies: (0,+/- 4)
Thank you!!!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Knowing foci and that center is at the origin gives you a number, c; the co-vertices give you the number, b. The relationship among certain constants for an ellipse is c%5E2=a%5E2-b%5E2, which all come from the derivation of an ellipse's equation.

system%28c=1%2Cb=4%2Chighlight_green%28a%5E2=c%5E2%2Bb%5E2=1%2B16=17%29%29

Fill-in the standard form equation for the ellipse centered at origin as described:
x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1


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Learn to understand and use the standard form equations for an ellipse, and the meanings of the variables which occur in the derivation of the equation. LOOK! highlight_green%28a%5E2=17%29.