Transformations of Functions

Front

What is a transformation of a function?

Back

A transformation of a function is an operation that alters the position, size, or shape of the graph of the function.

Front

What does a vertical stretch of a function do?

Back

A vertical stretch multiplies the output values of the function by a factor greater than 1, making the graph taller.

Front

What does a vertical shrink of a function do?

Back

A vertical shrink multiplies the output values of the function by a factor between 0 and 1, making the graph shorter.

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Back

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Back

Front

Back

Front

What is the parent function of a quadratic function?

Back

Front

Back

The equation shifts the graph of the parent function down by 5 units.

Front

Back

This indicates a vertical stretch by a factor of 5 and a shift upward by 2 units.

Front

Back

The transformation shifts the graph of the function 2 units to the right.