Chapter 2 - 2.5 - Transformations of Functions - 2.5 Exercises - Page 211: 22

a) $f(x)=x^2$ b) Vertical shift 2 units downward c) See graph d) $g(x)=f(x)-2$

We are given the function: $g(x)=x^2-2$ a) The parent function is: $f(x)=x^2$ b) Vertically shift $f(x)$ 2 units downward to get $g(x)=x^2-2$. c) Graph the transformations: d) Use function notation to write $g$ in terms of $f$: $g(x)=f(x)-2$