Question

Solve for a and b in the graphed hyperbola

Answer 1

ANSWER

a=1 and b=-12

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