Problem

What kind of transformation converts the graph of $f(x)=-3 x-2$ into the graph of $g(x)=$ $3 x-2$ ? horizontal stretch horizontal shrink reflection across the $x$-axis reflection across the $y$-axis

Solution

Step 1 :The function $f(x)=-3 x-2$ and $g(x)=3 x-2$ are linear functions.

Step 2 :The only difference between them is the sign of the coefficient of $x$.

Step 3 :This means that the graph of $f(x)$ is a reflection of the graph of $g(x)$ across the x-axis.

Step 4 :Therefore, the transformation that converts the graph of $f(x)$ into the graph of $g(x)$ is a reflection across the x-axis.

Step 5 :\(\boxed{\text{reflection across the x-axis}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/pZlXlj0Unw/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download