Sketch a graph of the function. Use transformations of functions whenever possible. f(x)=|x + 1|

Question
Transformations of functions
asked 2020-12-22
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}={\left|{x}\ +\ {1}\right|}\)

Answers (1)

2020-12-23
First graph function \(\displaystyle{y}={\left|{x}\right|}\) Then, to obtain graph of function \(\displaystyle{f{{\left({x}\right)}}}={\left|{x}\ +\ {z}\right|}\), do following transformations: - shift 1 unit to the left On graph: Red - \(\displaystyle{y}={\left|{x}\right|}\) Blue - \(\displaystyle{f{{\left({x}\right)}}}={\left|{x}\ +\ {1}\right|}\) image
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