What causes the key features of a function to change?

A translation moves every point by a fixed distance in the same direction. The movement is caused by the addition or subtraction of a constant from a function.  As an example, let  

f

(

x

)

=

x

3

.  One possible translation of  

f

(

x

)

would be  

x

3

+

2

.  This would then be read as, “the translation of

f

( x )

by two in the positive y direction”.

Step-by-step explanation: