CCGPS Geometry Unit 5A Graphing Quadraticsday 37 Notes

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

Name: ______Date: ______

Transformations of Quadratic Functions

Use your graphing calculator to graph the following. Use the table feature to accurately sketch the graphs.

1.Given that the parent function is , what shape are these graphs going to be?

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

2.Graph the parent function

3.Graph the function

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

4.What transformation do you observe when the function is multiplied by -1?

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

5.Graph the function

6.Graph the function

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

7.What transformation do you observe when a number is added or subtracted to the parent function not included with the or“outside”?

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

8.Graph the function

9.Graph the function

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

10.What transformation do you observe when a number is added or subtracted to the parent function included with the or“inside”?

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

11.Graph the function

12.Graph the function

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

13.What transformation do you observe when the function is multiplied by a number less than 1? ______Greater than 1? ______

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

Let’s combine several transformations together.

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

14.Graph the function

15.Graph the function

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

16.Did the individual rules still apply?

Now, you should be able to describe the transformations (without graphing them) based on the patterns you have observed during class. Everything that is added to the parent graph is going to transform the graph.

Determine what transformations are applied in the following functions.

CCGPS Geometry Unit 5a–Graphing QuadraticsDay 37– Notes

1.

2.

3.

4.