We have the following:
We replace one function within the other and we are left
[tex]\begin{gathered} f(x)=50x \\ b(x)=f(x)-150 \\ b(x)=50x-150 \end{gathered}[/tex]
now we replace the values in this new function,
[tex]\begin{gathered} b(2)=50\cdot2-150=100-150=-50 \\ b(4)=50\cdot4-150=200-150=50 \\ b(6)=50\cdot6-150=300-150=150 \\ b(8)=50\cdot8-150=400-150=250 \end{gathered}[/tex]
The table complete is:
a.
b.
general form
[tex]\begin{gathered} y=50x-150 \\ y-50x+150=0 \end{gathered}[/tex]
c.
Which means that a translation of 150 units down
