Given #f(x)+1 #, how do you describe the transformation?

1 Answer
Aug 29, 2016

#f(x)# is shifted one unit positive on the vertical axis

Explanation:

#f(x)+1# shifts #f(x)# one unit positive ("up") along the vertical ("#y#") axis.

As an example consider the case of # f(x) = x^2# in the graphs below.

graph{x^2 [-10, 10, -5, 5]}

graph{x^2+1 [-10, 10, -5, 5]}

The lower graph is #x^2+1# which shifts ("transforms") the function 1 unit up the #y-#axis