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PARENT FUNCTION

By Melvin Johnson,2014-11-26 12:20
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PARENT FUNCTION

Project AMP Dr. Antonio R. Quesada Director, Project AMP

    Transformations with Exponentials

    Name:___________________________Period:________Date:___________

    xy21. PARENT FUNCTION:

     Using the table below, plot the points in the table and draw the graph.

x -3 -2 -1 0 1 2 3

    y 1/8 ? ? 1 2 4 8

    xy22.

     Using the given x-values, fill in the table below. Plot the points and draw the graph.

x -3 -2 -1 0 1 2 3

    y

Project AMP Dr. Antonio R. Quesada Director, Project AMP

3. Compare the parent graph to the new graph.

     A) What are the similarities and differences?

     B) What effect did the change in the function have on the parent graph?

     C) Generalize this into a rule that will help graph any function.

    xy24.

     Using the given x-values, fill in the table below. Plot the points and draw the graph.

x -3 -2 -1 0 1 2 3

    y

5. Compare the parent graph to the new graph.

     A) What are the similarities and differences?

     B) What effect did the change in the function have on the parent graph?

     C) Generalize this into a rule that will help graph any function.

    xy26. +1

     Using the given x-values, fill in the table below. Plot the points and draw the graph.

x -3 -2 -1 0 1 2 3

Project AMP Dr. Antonio R. Quesada Director, Project AMP

7. Compare the parent graph to the new graph.

     A) What are the similarities and differences?

     B) What effect did the change in the function have on the parent graph?

     C) Generalize this into a rule that will help graph any function.

    xy28. - 1

     Using the given x-values, fill in the table below. Plot the points and draw the graph.

x -3 -2 -1 0 1 2 3

    y

9. Compare the parent graph to the new graph.

     A) What are the similarities and differences?

     B) What effect did the change in the function have on the parent graph?

     C) Generalize this into a rule that will help graph any function.

Project AMP Dr. Antonio R. Quesada Director, Project AMP

    x;1y210.

     Using the given x-values, fill in the table below. Plot the points and draw the graph.

x -4 -3 -2 -1 0 1 2

    y

11. Compare the parent graph to the new graph.

     A) What are the similarities and differences?

     B) What effect did the change in the function have on the parent graph?

     C) Generalize this into a rule that will help graph any function.

    x1y212.

     Using the given x-values, fill in the table below. Plot the points and draw the graph.

x -2 -1 0 1 2 3 4

    y

Project AMP Dr. Antonio R. Quesada Director, Project AMP

13. Compare the parent graph to the new graph.

     A) What are the similarities and differences?

     B) What effect did the change in the function have on the parent graph?

     C) Generalize this into a rule that will help graph any function.

    x114. y(2) 2

     Using the given x-values, fill in the table below. Plot the points and draw the graph.

x -2 -1 0 1 2 3 4

    y

15. Compare the parent graph to the new graph.

     A) What are the similarities and differences?

Project AMP Dr. Antonio R. Quesada Director, Project AMP

     B) What effect did the change in the function have on the parent graph?

     C) Generalize this into a rule that will help graph any function.

    xy2(2)16.

     Using the given x-values, fill in the table below. Plot the points and draw the graph.

x -4 -3 -2 -1 0 1 2

    y

17. Compare the parent graph to the new graph.

     A) What are the similarities and differences?

     B) What effect did the change in the function have on the parent graph?

     C) Generalize this into a rule that will help graph any function.

    1x2y218.

     Using the given x-values, fill in the table below. Plot the points and draw the graph.

x -6 -4 -2 0 2 4 6

    y

Project AMP Dr. Antonio R. Quesada Director, Project AMP

19. Compare the parent graph to the new graph.

     A) What are the similarities and differences?

     B) What effect did the change in the function have on the parent graph?

     C) Generalize this into a rule that will help graph any function.

    2xy220.

     Using the given x-values, fill in the table below. Plot the points and draw the graph.

x -1.5 -1 -.5 0 .5 1 1.5

    y

21. Compare the parent graph to the new graph.

Project AMP Dr. Antonio R. Quesada Director, Project AMP

     A) What are the similarities and differences?

     B) What effect did the change in the function have on the parent graph?

     C) Generalize this into a rule that will help graph any function.

    22. Generalize the transformations rules from the above activity. These rules should work for any parent function and transformation.

Extension:

    In the previous activity, many different graphs were presented. Each graph, however, had only one transformation. Below you are given some graphs that are the result of multiple transformations to the parent function previously presented. Using the knowledge you obtained above, generate the equation that would result in the graphs below. Use your calculator to test your equations.

    1. Look at the graph below. Generate the equation that goes with the graph. Use your graphing calculator to test you equation. Also, describe the transformations that took place.

    2. Look at the graph below. Generate the equation that goes with the graph. Use your graphing calculator to test you equation. Also, describe the transformations that took place.

Project AMP Dr. Antonio R. Quesada Director, Project AMP

    3. Look at the graph below. Generate the equation that goes with the graph. Use your graphing calculator to test you equation. Also, describe the transformations that took place.

Assessment:

Parent Function:

    1. Given the function, describe the transformations that would take place to the

    parent graph.

    2. Given the function, describe the transformations that would take place to the

    parent graph.

    3. Look at the graph below. Write the equation that represents the graph. Describe the

    transformations that took place to the parent graph. Use your graphing calculator to check

    your equation.

Project AMP Dr. Antonio R. Quesada Director, Project AMP

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