Answer:
Please check the graph attached.
Step-by-step explanation:
Given the function
f(x)= 6x-5
and
g(x)=f(x) +9
g(x)=f(x) +9 means 9 is added into the output of the parent function f(x).
It means the function g(x) would be shifted 9 units up.
Please check the attached diagram.
The red graph represents the graph f(x)= 6x-5.
It is clear that the y-intercept of the graph f(x)= 6x-5 is (0, -5)
The blue graph represents the graph g(x)=f(x) +9
It is clear that the y-intercept of the graph g(x)=f(x) +9 is (0, 4)
Conclusion:
It is clear that g(x)=f(x) +9 has been shifted up by 9 units from the f(x)= 6x-5.
