Function Transformations

Front

Describe the transformation that occurred: m(x) = f(x + 1)

Back

Left 1 Unit

Front

Describe the transformation that occurred: k(x) = f(x) - 9

Back

Down 9 units

Front

Name the parent function: cubic

Back

Cubic function is a polynomial function of degree 3.

Front

What are the transformations in y=(x-2)^3 + 4?

Back

Horz shift right 2 & Vert shift up 4

Front

What type of function is shown: absolute value?

Back

Absolute value function is defined as f(x) = |x|.

Front

What is a function transformation?

Back

A function transformation is a change made to the function's graph that alters its position, shape, or size.

Front

What does a horizontal shift to the right mean?

Back

It means the graph of the function moves to the right along the x-axis.

Front

What does a vertical shift up mean?

Back

It means the graph of the function moves up along the y-axis.

Front

What is a vertical stretch?

Back

A vertical stretch occurs when the graph of a function is stretched away from the x-axis.

Front

What is a horizontal compression?

Back

A horizontal compression occurs when the graph of a function is compressed towards the y-axis.