Chapter 2 - 2.5 - Transformations of Functions - 2.5 Exercises - Page 211: 29

a) $f(x)=\sqrt x$ b) Vertical stretch c) See graph d) $g(x)=2f(x)$

We are given the function: $g(x)=2\sqrt x$ a) The parent function is: $f(x)=\sqrt x$ b) Vertically stretch $f(x)$ by a factor of 2 to get $g(x)=2\sqrt x$. c) Graph the transformation: d) Use function notation to write $g$ in terms of $f$: $g(x)=2f(x)$