SOLUTION: What is the standard form of the hyperbola with vertices (1,0),(-1,0) and assymptote of y=5x y=-5x?

Question 1120056: What is the standard form of the hyperbola with vertices (1,0),(-1,0) and assymptote of y=5x y=-5x?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

With vertices (1,0) and (-1,0), the center is at (0,0), and the branches open right and left. The general form of the equation is

The center is (h,k); a is the distance from the center to either vertex, which is 1; b/a and -b/a are the slopes of the two asymptotes.

Since the slopes are 5 and -5, that means b is 5, and we have all the pieces we need to write the equation:

RELATED QUESTIONS
Find the standard form of the equation of the hyperbola with the given characteristics... (answered by lwsshak3)

What is the standard form of the equation of the hyperbola with vertices (0, �3) and... (answered by MathLover1)

Find the standard form of the equation of the hyperbola with the given characteristics (answered by lwsshak3)

What is the equation of the hyperbola with vertices (0,4) and (0,-4) and asymptotic... (answered by Edwin McCravy)

Write the equation of an hyperbola, in standard form, with vertices ( 0,3) and (0,-3)... (answered by lwsshak3)

A hyperbola has vertices (±5,0) and one focus at (6,0). What is the equation of the... (answered by MathLover1)

What is the standard form of the hyperbola with foci at (�4,0) and vertices at... (answered by lwsshak3)

What is the vertices, foci, and slope of the asymptote for the hyperbola whose equation... (answered by venugopalramana)

Write the equation in standard form of a hyperbola with vertices at (-2,4) and (-2,6) and (answered by lynnlo)