Which sequence of transformations maps $y=f(x)$ to $y=g(x)=3f(-2x+6)-5$?
Question 2
Write the formula for the function obtained by reflecting $y=f(x)$ across the x-axis, then compressing vertically by factor 1/2, and finally shifting right 4 units.
Question 3
If $(1,2)$ lies on $y=f(x)$, what point lies on $y=g(x)=-2f\bigl(\tfrac{x+4}{3}\bigr)+5$?
Question 4
Given $\mathrm{dom}\,f=[-1,3]\,,\,$ find the domain of $g(x)=f(2x-4)$.
Question 5
If $\mathrm{range}\,f=[-2,5]\,,\,$ what is the range of $g(x)=-3f(x)+1$?
