Absolute Value Transformations

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

Tags

CCSS.6.NS.C.7C

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is y = |x|.

Front

Describe the transformation of y = |x + 3|.

Back

The graph shifts left 3 units.

Front

Describe the transformation of y = |x - 4|.

Back

The graph shifts right 4 units.

Front

What does the equation y = -|x| represent?

Back

It represents a reflection of the absolute value function across the x-axis.

Tags

CCSS.HSF-IF.C.7D

Front

What is the effect of adding a constant outside the absolute value, like in y = |x| + 2?

Back

It shifts the graph up 2 units.

Front

What is the effect of subtracting a constant outside the absolute value, like in y = |x| - 5?

Back

It shifts the graph down 5 units.

Front

What does the equation y = |x| - 9 represent?

Back

It represents a downward shift of the absolute value graph by 9 units.

Front

How does the equation y = -|x| + 1 transform the graph?

Back

It reflects the graph across the x-axis and shifts it up 1 unit.

Front

What transformation does y = |x + 3| + 2 represent?

Back

It shifts the graph left 3 units and up 2 units.