Transformation of Functions

Front

What is the parent absolute value function?

Back

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Back

This transformation shifts the parent absolute value function down by 5 units.

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Back

This function shifts the graph left by 4 units and down by 9 units.

Front

What is the effect of reflecting a quadratic function over the x-axis?

Back

Reflecting a quadratic function over the x-axis changes the sign of the leading coefficient, resulting in a downward-opening parabola.

Front

Back

This equation represents a quadratic function that is reflected over the x-axis and shifted up 2 units.

Front

Back

This transformation reflects the absolute value function over the x-axis and shifts it up by 2 units.

Front

Back

This equation represents a vertical shift of the parent quadratic function down by 5 units.

Front

What is a horizontal translation in function transformations?

Back

A horizontal translation shifts the graph left or right along the x-axis.

Front

What is a vertical translation in function transformations?

Back

A vertical translation shifts the graph up or down along the y-axis.

Front

How do you identify a vertical shift in a function?

Back