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Sketch . 2-23 HW eTool (Desmos) 

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

  1. 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.

  2. 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.

  3. Verify your solution by using a graphing calculator.

Use the eTool below to view the graphs.
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2-23 HW eTool (Desmos)