Absolute Value Functions Review

Front

What is the definition of an absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero on the number line, denoted as f(x) = |x|.

Front

What is the parent function of absolute value?

Back

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

Front

What transformation occurs when the equation is f(x) = |x| + k?

Back

The graph shifts vertically by k units.

Front

What transformation occurs when the equation is f(x) = |x - h|?

Back

The graph shifts horizontally by h units.

Front

What does a negative sign in front of an absolute value function indicate?

Back

It indicates a reflection across the x-axis.

Front

What does a coefficient greater than 1 in front of an absolute value function indicate?

Back

It indicates a vertical stretch of the graph.

Front

What does a coefficient between 0 and 1 in front of an absolute value function indicate?

Back

It indicates a vertical compression of the graph.

Front

How do you describe the transformation of f(x) = -|x|?

Back

The graph is reflected across the x-axis.

Front

What is the effect of adding a constant outside the absolute value function, such as in f(x) = |x| + 3?

Back

The graph shifts up by 3 units.

Front

What is the effect of subtracting a constant outside the absolute value function, such as in f(x) = |x| - 2?

Back

The graph shifts down by 2 units.