Finding the equation of a hyperbola

[farmd684]

Homework Statement

Problem : Find an equation and sketch in x-y coordinates for the Hyperbola with vertex (-1,7) and asymptotes y-5=+- (x+1)

The Attempt at a Solution

To find the equation of the hyperbola i have to find the length of a ( distance from center to vertex in focal axis ) and b to put them in the equation y^2/a^2 - x^2/b^2 = 1 so far i have found the center (-1,5) and vertex are (-1,7) and (-1,3) so i get a = 2 But how can i get the value of b to put it in the equation ? Thanks :)

 

[tiny-tim]

Hi farmd684!

(try using the X² tag just above the Reply box )

If the question gives you lemons … make lemonade!

For y²/a² - x²/b² = 1, what is the slope of the asymptotes?

 

[farmd684]

Hi farmd684!

(try using the X² tag just above the Reply box )

If the question gives you lemons … make lemonade!

For y²/a² - x²/b² = 1, what is the slope of the asymptotes?

Thanks for the reply

the slope i guess is a/b for y²/x². Then what should i do.

 

[tiny-tim]

Thanks for the reply

the slope i guess is a/b for y²/x². Then what should i do.

Well, if you know a/b and you know a, then b = … ?

 

[farmd684]

Well, if you know a/b and you know a, then b = … ?

Thanks