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Home > INT3 > Chapter 2 > Lesson 2.2.5 > Problem 2-125

2-125.

Consider the functions and . 2-125 HW eTool (Desmos). Homework Help ✎

  1. Verify that they are equivalent by creating a table or graph for each function.

    Here are a couple of points on the table. Make sure you get these points and continue both of your tables for at least the -values given.

  2. Show algebraically that these two functions are equivalent by starting with one form and showing how to get the other.




  3. Notice that the value for a is 3 in both forms of the function, but that the values for b and c are different from the values for h and k. Why is the value for a the same in both forms of the function?

    What does the value for a represent?

Use the eTool below to graph the equations.
Click the link at right for the full version of the eTool: Int3 2-125 HW eTool