Transformations of Parent Functions

Front

What is a vertical shrink in transformations of functions?

Back

A vertical shrink occurs when the output values of a function are multiplied by a factor less than 1, causing the graph to become 'squished' towards the x-axis.

Front

Back

This represents a reflection over the x-axis and a vertical shift upward by 5 units.

Front

How do you identify a cubic function reflected across the x-axis?

Back

A cubic function reflected across the x-axis will have a negative leading coefficient.

Front

Back

This indicates a vertical shrink by a factor of 1/2 of the absolute value parent function.

Front

What is the effect of shifting a function left or right?

Back

Shifting a function left or right involves adding or subtracting a value from the input variable x in the function.

Front

Back

This represents a vertical shrink by a factor of 1/2, a shift right by 4 units, and a shift down by 1 unit.

Front

What is the parent function of a cubic function?

Back

Front

What does a reflection over the y-axis look like in a function?

Back

A reflection over the y-axis occurs when the input variable x is replaced with -x in the function.

Front

Back

This represents a vertical shrink by a factor of 1/2, a shift left by 4 units, and a shift down by 1 unit.

Front

How do you determine the vertical shift of a function?

Back

The vertical shift is determined by the constant added or subtracted from the function's output.