How do I figure out what f(|x|) looks like?
Understand that absolute value makes all numbers inside it non-negative (0 or greater). If the x in f(x) is non-negative, then y must be non-negative because f(x) = y.
The graph will look the same, but whenever y < 0, the y value changes to \(|y|\) .
For example, if the coordinate was (-1, -1), the y-coordinate turns into 1 by absolute value. The point on the graph changes to (-1, 1). The graph will not have any coordinates below the x-axis.
Hope this helps,