Chapter 2 - 2.5 - Transformations of Functions - 2.5 Exercises - Page 211: 33

a) $f(x)=|x|$ b) Horizontal shrink c) See graph d) $g(x)=f(2x)$

We are given the function: $g(x)=|2x|$ a) The parent function is: $f(x)=|x|$ b) Horizontally shrink $f(x)$ to get $g(x)=|2x|$. c) Graph the transformation. d) Use function notation to write $g$ in terms of $f$: $g(x)=f(2x)$