Chapter 2.1, Problem 13E

To determine

To match: The function: $y=f(x)$ is given, through this we will transform the graph.

Answer to Problem 13E

The correct answer is option A.

Explanation of Solution

Given information: In the question graph of $y=f(x)$ is given with the help of this we will find the correct graph of $y=f(x-1)$ .

We know that $y=f(x-h)$ is Horizontal transform. If $h>0$ , we will say Horizontal-right transform. If $h<0$ .we will say horizontal-left transform. In the question $y=f(x-1)$ , If we compare with $y=f(x-h)$ , we will find $h=1$ , which is positive quantity, hence we can say that the graph will be transformed to horizontal-right shift. If I see carefully option then A is correct transform of $y=f(x)$ .