SOLUTION: PLEASE HELP!!!! I'm having a hard time with this. Find the foci of this ellipse equation. Carefully graph the eclipse. Identify the coordinates of the four vertices on the graph.

Algebra ->  Rational-functions -> SOLUTION: PLEASE HELP!!!! I'm having a hard time with this. Find the foci of this ellipse equation. Carefully graph the eclipse. Identify the coordinates of the four vertices on the graph.      Log On


   

Question 857769: PLEASE HELP!!!! I'm having a hard time with this.
Find the foci of this ellipse equation. Carefully graph the eclipse. Identify the coordinates of the four vertices on the graph. 4x^2+9y^2=36
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Given: 4x%5E2%2B9y%5E2=36
%284x%5E2%29%2F36%2B%289y%5E2%29%2F36=36%2F36
%28x%5E2%29%2F9%2B%28y%5E2%29%2F4=1
-
Knowledge about the values in the equation of an ellipse gives a=3, b=2, and this means that, since the ellipse is in standard position, vertices are (0,-3), (0,3), (-2,0), (2,0). The center is the origin.