Chapter 7.4, Problem 50E

To determine

To find: the value of $\left(h,k\right)$ from the given graph.

Answer to Problem 50E

Thus, the value of $h=-1$ and $k=-4$ .

Explanation of Solution

Given:

The given graph is shown in Figure 1

  

Figure 1

The given function is $f\left(x\right)=\frac{a}{x-h}+k$ .

Calculation:

Consider the given function is,

  $f\left(x\right)=\frac{a}{x-h}+k$

Thus, from the graph it is clear that the horizontal asymptote of the function is $y=-4$ and the vertical asymptote is $x=-1$ .

Therefore, the value of $h=-1$ and $k=-4$ .