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

Consider the functions and

*. 2-125 HW eTool (Desmos). Homework Help ✎*

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

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