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)=x2 in the graphs below.

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

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

The lower graph is x2+1 which shifts ("transforms") the function 1 unit up the yaxis