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

2-23.

Sketch *2-23 HW eTool* (Desmos)

Graph two lines. Sketch the first one to the right of , the second one to the left of

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This graph should look like a function you have seen before, that is, the absolute value function. Write

using the absolute value function with the necessary transformations.The general absolute value function is

, where is the vertex and a is the steepness of the two lines. Shift

to the left five units and down three units. Write the new function,, as an absolute value function.This is

.

Change the domain for the horizontal shift only.Verify your solution by using a graphing calculator.

Use the eTool below to view the graphs.

Click the link at right for the full version of the eTool: *2-23 HW eTool* (Desmos)