ALL 10 TRANSFORMATIONS OF ABSOLUTE VALUE …



Transformations of the Quadratic Function Name_____________________

This is not all of the transformations we’ll learn this year.

| |4.) Translate/Shift Right |8.) What type of transformation is each of the |

| |[pic] |following? |

| |[pic] [pic] |1.) [pic] |

| | |2.) [pic] |

| |5.) Translate/Shift Left |3.) [pic] |

| |[pic] |4.) [pic] |

| |[pic] [pic] |5.) [pic] |

| |Why do students tend to like vertical shifts more than |6.) [pic] |

| |horizontal shifts? |7.) [pic] |

| | |8.) [pic] |

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|1.) Horizontal Reflection | |Sketch a graph of each: |

|[pic] | |Include vertex and y-intercept |

|[pic] [pic] | | |

|What does this negative do to the graph? | |9.) [pic] |

| | |[pic] |

| |6.) Vertical Stretch | |

| |[pic] | |

| |[pic] [pic] |10.) [pic] |

| | |[pic] |

|2.) Translate/Shift Up |7.) Vertical Shrink | |

|[pic] |[pic] | |

|[pic] [pic] |[pic] [pic] |11.) [pic] |

| | |[pic] |

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|3.) Translate/Shift Down | | |

|[pic] | | |

|[pic] [pic] | | |

Transformations of the Absolute Value Function

Matching!! Put the equations from the word bank with the appropriate graph.

| |Reflected over x-axis: |Shifted left 2 spaces: |Vertical Stretch: |

|WORD BANK | | | |

|[pic] |[pic] |[pic] |[pic] |

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|[pic] | | | |

|[pic] | | | |

|[pic] | | | |

|[pic] | | | |

|[pic] | | | |

|[pic] | | | |

|[pic] | | | |

|[pic] | | | |

| |Shifted up 2 spaces: |Vertical Shrink: |Shifted right 2 spaces: |

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| |[pic] |[pic] |[pic] |

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|Reflected over y-axis: |Horizontal Shrink: |Shifted down 2 spaces: |Horizontal Stretch: |

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|____________________ |____________________ |____________________ |____________________ |

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|[pic] |[pic] |[pic] |[pic] |

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This is the parent function for quadratics:

[pic]

[pic]

Parent Function:

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