Chapter 7, Problem 4CT

To determine

Whether the value of each function $handk$ is positive, negative or zero.

Answer to Problem 4CT

  $h$ : Positive

  $k$ : Negative

Explanation of Solution

Given: The graph shows the function of $y=\frac{1}{x-h}+k$

  

Given: $y=\frac{1}{x-h}+k$

The parent function of the graph is $y=\frac{1}{x}$

From the graph

The center of the graph was translated to the left which means that the value of $h$ is positive

The center is also translated down thus the value of $k$ is negative.

Hence

  $h$ : Positive

  $k$ : Negative