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

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

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 - $$\displaystyle{f{{\left({x}\right)}}}={\left|{x}\ +\ {1}\right|}$$

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