Answer:
g(x) = -12x + 48
Step-by-step explanation:
Given function:
[tex]f(x)=-3x[/tex]
To transform a function by a vertical stretch of 4 units, multiply the function by the scale factor.
To translate a function to the right by 4 units, subtract 4 from the x-value of the function.
Therefore, the equation for g(x) is:
[tex]\begin{aligned}\implies g(x)&=4f(x-4)\\&=4 \cdot -3(x-4)\\&=-12(x-4)\\&=-12x+48\end{aligned}[/tex]
