
Name: Carla
Level of Question: Secondary (12)
Asking question: Student
 Find the equation of the hyperbola centered at (0,0) with vertices at (0,3) and (0,3) that is asymptotic to the lines y=+5x.
 Find the equation of a hyperbola in standard position foci (1,5) and (1,7) and eccentricity 2.
Thank you for your help and effort. Have a nice holiday and New Year!!! Thanks again!!!
Hi Carla,
For problem 1 the center being (0,0) and the vertices on the yaxis means that the hyperbola has the form
In this equation when x = 0, y^{2} = b^{2}, that is y = +b. But you know that (0,3) and (0,3) are on the graph and hence b = 3.
I remember that to find the asymptotes of the hyperbola in standard form you factor the left side as a difference of squares.
The two asymptotes are then
and
This should allow you to find a.
Cheers
Penny
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