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

Answer

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Answer

$\boxed{\text{reflection across the x-axis}}$

Steps

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 ：$\boxed{\text{reflection across the x-axis}}$