Reflection

 

 

Reflection of a graph is necessary for graphs of the following forms:

                                    g(x) = f (-x)

                                            g(x) = -f(x)

 

Graph of y = -2 sin x

 

                   

 

Notice that the graph has been reflected about the x-axis.

 

 

Modulus Function

The modulus function can also be applied to graphs of trigonometric functions.

 

Graph of y = | sin 2x + 0.5 |

 

                   

Transformations applied to this graph:

1. Scaling along the x-axis by factor 0.5.

2. Translation along the y-axis by factor 0.5

3. Apply modulus function.

 

Graph of y = | sin 2x | - 2

 

             

Transformations applied to this graph:

1. Scaling along x-axis by factor 0.5.

2. Apply modulus function

3. Translation along y-axis by factor -2.