The given information is:
- The parent function is:
[tex]F(x)=|x|[/tex]
- The transformations are: horizontal compress by multiplying by 11 and shift 4 units up.
The transformation rules states that horizontal compressions are given by:
[tex]\begin{gathered} f(b*x) \\ \text{ As b=11, then we obtain:} \\ F^{\prime}(x)=|11x| \end{gathered}[/tex]
Now, vertical translations are given by:
[tex]f(x)+d[/tex]
Where d is the units up. So d=4, then:
[tex]G(x)=|11x|+4[/tex]
The answer is C. G(x)=|11x|+4
