Question

Solve for a and b in the graphed hyperbola

Answer 1

a=1 and b=-12

Step-by-step explanation

The hyperbola has a hole at:

x=3

and a vertical asymptote at x=-4.

This implies that the denominator of the rational function is

(x-3)(x+4)

We expand to get;

`{x}^(2) + 4x - 3x - 12`

This simplifies to:

`{x}^(2) + x - 12`

comparing to

`{x}^(2) + ax + b`

We have a=1 and b=-12