Absolute Value Transformations

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is f(x) = |x|.

Front

What effect does adding a positive number outside the absolute value function have?

Back

It shifts the graph of the function upward by that number.

Front

What effect does subtracting a positive number outside the absolute value function have?

Back

It shifts the graph of the function downward by that number.

Front

What effect does adding a positive number inside the absolute value function have?

Back

It shifts the graph of the function to the left by that number.

Front

What effect does subtracting a positive number inside the absolute value function have?

Back

It shifts the graph of the function to the right by that number.

Front

What is the transformation of f(x) = |x| + 3?

Back

The graph shifts up 3 units from the parent function.

Front

What is the transformation of f(x) = |x - 4|?

Back

The graph shifts right 4 units from the parent function.

Front

What is the transformation of f(x) = -|x|?

Back

The graph reflects over the x-axis.

Front

What is the transformation of f(x) = -|x| + 2?

Back

The graph reflects over the x-axis and shifts up 2 units.