Question

Graph using transformations and describe the transformations of the parent function Y equals X^2.A. F(x)= 2|x-1|

Answer 1

Given the function:

`f(x)=2|x-1|`

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:

`|x-1|`

2) vertically stretched with a factor = 2

so, the function will be:

`2|x-1|`

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|