Answer:
Transformations: Shifted down by 3 units.
Then Shifted up by 2 units.
Step-by-step explanation:
Let the parent function be f(x) = 3x
Now shift the parent graph down by 3 units
Rule : f(x)→f(x)-b
The graph f(x) shifted down by b units
So, According to rule f(x)→f(x)-3
So, new function becomes: f'(x)=3x-3
Now we are supposed to shift the graph 2 units up
Rule : f(x)→f(x)+b
The graph f(x) shifted up by b units
So, According to rule f'(x)→f'(x)+2
So, the new function is g(x) = 3x-3+2
Thus the graph of f(x) shifted down by 3 units then shifted up by 2 units to obtain the graph g(x).
Transformations: Shifted down by 3 units.
Then Shifted up by 2 units.
