# How do you write the equation of a transformed graph?

##### 1 Answer

Let's consider a simple example:

The graph of the transformed function

We notice that the transformed function

**1. Reflection of #f# across the #Ox# axis** : this gives us the first transformed function

**2. Translation of #f_1# by 5 units to the right across the #Ox# axis**: this gives us the second transformed function

**3. Translation of #f_2# by 4 units up across the #Oy# axis** : this gives us the transformed function

Please find below the graphs of the successive transformations, represented in the corresponding colors (red, green, indigo, blue):