Chapter 8, Problem 3STP

To determine

To find: In which direction must the given graph be shifted.

Answer to Problem 3STP

Correct option is (A).

Explanation of Solution

Given information:

The given function is $y=\frac{1}{x}+2$ .

Calculation:

For the function $f\left(x\right)=\frac{a}{x-h}+k$ .

The vertical asymptotes is at $x=h$ . And

The horizontal asymptotes is at $y=k$ .

Here,

  $k=2$

Thus, the graph will either move up or down.

Now, since value of k is positive. Therefore, the graph will move 2 units up.

Hence,

Correct option is (A).