Given the function:
[tex]f(x)=2|x-1|[/tex]The parent function is y = |x|
So, the transformations required to get f(x) will be as follows:
1) shift 1 unit right, som the function will be:
[tex]|x-1|[/tex]2) vertically stretched with a factor = 2
so, the function will be:
[tex]2|x-1|[/tex]the graph of the function f(x) and its parent function will be as follows:
As shown in the figure:
The red dashed graph represents the parent function y = |x|
and the blue graph represents the function f(x) = 2|x-1|
