Question

the function $f(x)= - 3x$ is reflected over a line and results in the equation $f(x)=3x$. identify the equation for the line of reflection. (1 point)
the line of reflection is $y = square$.

Explanation:

Step1: Analyze function transformation

The function $f(x)= - 3x$ has a negative slope and $f(x)=3x$ has a positive slope. When a linear - function is reflected over the $x$ - axis, the sign of the $y$ - values changes.

Step2: Recall reflection rule

The rule for reflecting a function $y = f(x)$ over the $x$ - axis is $(x,y)\to(x, - y)$. For the function $y=-3x$, when reflected over the $x$ - axis, $y=-(-3x)=3x$. The equation of the $x$ - axis is $y = 0$.

Answer:

0