SOLUTION: write an equation for the following conic. if it is a parabola, it has a vertex at the origin, and if it is an ellipse or a hyperbola, it is centered at the origin. vertex at (-2,0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: write an equation for the following conic. if it is a parabola, it has a vertex at the origin, and if it is an ellipse or a hyperbola, it is centered at the origin. vertex at (-2,0      Log On


   



Question 1103754: write an equation for the following conic. if it is a parabola, it has a vertex at the origin, and if it is an ellipse or a hyperbola, it is centered at the origin. vertex at (-2,0) and e= 3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Hyperbolas have eccentricities greater than 1.
The vertices are 2 units from the center so a=2
e=c%2Fa
3=c%2F2
c=6
and
a%5E2%2Bb%5E2=c%5E2
2%5E2%2Bb%5E2=6%5E2
b%5E2=36-4
b%5E2=32
So,
highlight_green%28%28x-2%29%5E2%2F4-y%5E2%2F32=1%29