Answer:
[tex]g(x)=f(-x)-4[/tex]
Step-by-step explanation:
Hi there!
We're given that [tex]f(x)=-3x +2[/tex].
g(x) is f(x) translated 4 units down. Subtract 4 from f(x):
[tex]g(x)=f(x)-4[/tex]
It is also reflected about the y-axis. This makes all values of x negative:
[tex]g(x)=f(-x)-4[/tex]
I hope this helps!