The modulus function, also known as the absolute value function, is defined as:
$$|x| = \begin{cases} x & \text{ if } x \geq 0 \\ -x & \text{ if } x< 0 \end{cases} $$
This function changes the shape of graphs when applied to various functions.
When the modulus is applied to a function f(x), it reflects the negative part of the function above the x-axis.
Consider the function y = x^2 - 4. The graph of y = |x^2 - 4| will look like a parabola, but the part below the x-axis will be reflected above it.
To sketch y = |f(x)|, first graph f(x) normally, then reflect any parts below the x-axis above it.
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