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Consider the equations and . 2-24 HW eTool (Desmos). Homework Help ✎.

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

    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 x-values given.

    x y
    -2 22
    1 -5

  2. Show algebraically that these two equations 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 equation, but that the numbers for b and c are different from the numbers for h and k. Why do you think the value for a would be the same number in both forms of the equation?

    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: CCA2 2-24 HW eTool