# Thread: help finding equation for this asymtope

1. ## help finding equation for this asymtope

I need to know how to start looking for an equation that has the following asymtope

verticala asymtope x=3 and x=-8
horizontal asymtope y = -3
no oblique

2. Originally Posted by rj2001
I need to know how to start looking for an equation that has the following asymtope

verticala asymtope x=3 and x=-8
horizontal asymtope y = -3
no oblique

You're going to need a denominator of your rational function to have factors of (x-3)(x+8) to get your vertical asymptotes.

And to get horizontal asymptote of y=-3, make the highest power of x in the numerator and denominator the same (in this case 2) and the coefficient in the numerator should be -3.

So, you get:

$f(x)=\frac{-3x^2}{x^2+5x-24}$