Problem 44E
Graphing hyperbolas Sketch the graph of the following hyperbolas. Specify the coordinates of the vertices and foci and find the equations of the asymptotes. Use a graphing utility to check your work.
10x2 − 7y2 = 140
Solution 44E
Step 1:
In this problem we have to draw the graph of a hyperbola 10, and we have to label the vertices foci and the equation of asymptotes.
Note; We know that a hyperbola with the center of its origin .For these hyperbolas , the standard form of the equation is  =1 for hyperbolas that extend right and left (or)  =1for hyperbolas that extend up and down.
Consider ,  =1 . In this case
Center is ;(0,0) , vertices are ;( a, 0) ,(a,0) , and foci is ( ae, 0) (ae,0).
Equations of the asymptotes are ; y = x , and y = x
