MTH 161

Project 1: Graphing with hands

A) (40 points). Write a function based on the given parent function and the given 3 transformations in the given order and graph all the 4 by hand (please show the tables of order pairs used to graph them).

1. Parent function: f(x) = VX
2. Shift the graph to the left 2 units.
3. Reflect the graph across the y-axis
4. Reflect the graph across the x-axis
5. (30 points). Graph the function defined by f(x) = 2|x-1|-3 Identify the parent function and each transformation and show the graph after each transformation