Absolute Value Transformations

Front

What is the Absolute Value Parent Function?

Back

The Absolute Value Parent Function is defined as y = |x|, which produces a V-shaped graph that opens upwards.

Front

What does it mean to compress the Absolute Value function vertically?

Back

Compressing the Absolute Value function vertically means that the graph is made 'flatter' or 'wider' compared to the parent function.

Front

What is the effect of shifting the Absolute Value function down by 4 units?

Back

Shifting the Absolute Value function down by 4 units means that every point on the graph of y = |x| is moved down 4 units, resulting in the equation y = |x| - 4.

Front

How does the equation y = |x| + 10 transform the parent function?

Back

The equation y = |x| + 10 shifts the graph of the Absolute Value function up by 10 units.

Front

What transformation is applied in the function f(x) = |x| - 5?

Back

The function f(x) = |x| - 5 shifts the graph of the Absolute Value function down by 5 units.

Front

What does the transformation y = |x - 4| represent?

Back

The transformation y = |x - 4| shifts the graph of the Absolute Value function to the right by 4 units.

Front

What is the transformation for the function y = |x + 3|?

Back

The function y = |x + 3| shifts the graph of the Absolute Value function to the left by 3 units.

Front

How do you write the equation for a graph that shifts down 9 units?

Back

The equation for a graph that shifts down 9 units is y = |x| - 9.

Front

What is the effect of a vertical stretch on the Absolute Value function?

Back

A vertical stretch makes the graph of the Absolute Value function narrower compared to the parent function.

Front

What does the transformation y = -|x| do to the graph of the Absolute Value function?

Back

The transformation y = -|x| reflects the graph of the Absolute Value function across the x-axis.