### Home > PC > Chapter 2 > Lesson 2.1.2 > Problem 2-23

2-23.

Sketch

. 2-23 HW eTool (Desmos) Homework Help ✎ This graph should look like a function you have seen before, that is, the absolute value function. Write

*f*(*x*) using the absolute value function with the necessary transformations.Shift

*f*(*x*) five units to the left and three units down. Write the new function,*g*(*x*), as an absolute value function.Verify your solution by using a graphing calculator.

Graph two lines. Sketch the first one to the right of *x* = 3, the second one to the left of *x* = 3.

This is *f*(*x* + 5) − 3.

Change the domain for the horizontal shift only.