Transformation of Functions Lesson 2.5. Operation: Subtract 2 from DV. Transformation: Vertical translation Example #1.

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Presentation transcript:

Transformation of Functions Lesson 2.5

Operation: Subtract 2 from DV. Transformation: Vertical translation Example #1

Operation: Multiply all DV values by ½. Transformation: Stretch. The scale factor of ½. Example #2

Operation: Multiply DV by negative 1. Transformation: Reflection about x axis. Example #3

Practice  Complete problem set #A on classwork.

Operation: Subtract 2 from x values before finding y. Example #4 Transformation: Horizontal translation INPUTOUTPUT

Operation: Multiply all x values by negative 1 before finding y. Transformation: Reflection about y axis. Example #5

Practice  Complete problem set #B on classwork.

Process – Graphing transformed functions. 1. Graph points from the parent function. 2. Box the function without translations. 3. Multiply each value by the scale factor to find y. 4. Plot new points. 5. Translate function 6. Draw the curve, using what you know about the shape of the function.

Example #1  Graph the function Translate left 3 Translate up 2 Reflect across y-axis Shrink by scale factor of 1/2

Rigid vs. Non-Rigid Transformations  Rigid transformations do NOT change the shape.  Translations  Reflections  Non-rigid transformations DO change the shape.  Stretches or shrinks by a scale factor.

Practice  Complete problem set C independently.