# How do you graph y=-22/(x+43)-17 using asymptotes, intercepts, end behavior?

Nov 4, 2016

Explained below

#### Explanation:

As $x \to - 43 , y \to - \infty$ hence x= -43 is a vertical asymptote.

Next, as $x \to \infty , y \to - 17$, hence y=-17 is an horizontal asymptote.

The graph will cross y-axis at point (0, -17-22/43) that is (0, -753/43)

The graph would cross x-axis at point y=0 and x coordinate would be given by $- \frac{22}{x + 43} - 17 = 0$ that is 17(x+43)=-22, $x = - \frac{22}{17} - 43 = - \frac{753}{17}$.
The point would thus be ( -753/17,0).The graph would look like