A2 Absolute Value Function Transformations

Front

What is the parent function for absolute values?

Back

Front

Back

The transformation is a right shift of 2 units and an upward shift of 4 units.

Front

Write the absolute value function for the following transformations: Reflection across the x-axis, Horizontal shift right 2 units, Vertical shift down 7 units.

Back

Front

Back

The vertex is (-6, 0).

Front

Back

The vertex is (-2, 5).

Front

What does a reflection across the x-axis do to the absolute value function?

Back

It flips the graph of the function over the x-axis.

Front

How does a horizontal shift to the right affect the absolute value function?

Back

It moves the graph to the right along the x-axis.

Front

What is the effect of a vertical shift upwards on the absolute value function?

Back

It moves the graph up along the y-axis.

Front

Back

The graph is shifted up 3 units.

Front

Back

It reflects the graph over the x-axis.