Question

compare the graph of the linear function to the parent graph f(x)=x.f(x)=-x.a)vertical shift of 1 downb) reflection in the x-axisc) reflection in the x-axis and vertical shrinkd) same as the parent graph

Answer 1

Given the Parent Function:

`f(x)=x`

You know that the following function is obtained after the transformation of the Parent Function:

`f(x)=-x`

According to the Transformation Rules for Functions:

1. If:

`-f(x)`

The function is reflected across the x-axis.

2. If:

`f(-x)`

It is reflected across the y-axis.

Then, by analyzing the functions and the options given in the exercise, you can determine that the answer is: Option b.