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

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Answer 1 · 2016-08-29T01:17:08

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

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

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

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

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

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

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