Parent Function Transformations

Front

What is a parent function?

Back

A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.

Front

What does a vertical shift of +c do to a function?

Back

It moves the graph of the function up by c units.

Front

What does a vertical shift of -c do to a function?

Back

It moves the graph of the function down by c units.

Front

What does a horizontal shift of +c do to a function?

Back

It moves the graph of the function left by c units.

Front

What does a horizontal shift of -c do to a function?

Back

It moves the graph of the function right by c units.

Front

What is the effect of a negative sign in front of a function?

Back

It reflects the graph of the function across the x-axis.

Front

What is the effect of a negative sign inside the function argument?

Back

It reflects the graph of the function across the y-axis.

Front

Back

It shifts the graph of the absolute value function up by 1 unit.

Front

Back

It compresses the graph vertically by a factor of 1/2 and shifts it down by 3 units.

Front

Back

It shifts the graph right by 4 units and up by 3 units.