Question

Given the graph of y = f(x) shown below, sketch the graph of y = |f(x)|.

Answer 1

Graph C

Explanation:

The graph of |f(x)| represents the absolute value of the function f(x).

The absolute value function removes the negative sign from any negative values, so it reflects the negative portion of the graph of f(x) across the x-axis.

Therefore, the correct graph is option C (attached).

Additional notes

Graph B is the function reflected across the x-axis: -f(x).

Graph D is the absolute function reflected across the x-axis: -|f(x)|.