Question

f is a function such that f(x) < 0. The graph of the new function g defined by g(x) = | f(x) | is a reflection of the graph of f

• A. on the y axis
• B. on the x axis
• C. on the line y = x
• D. on the line y = - x

Answer 1

The correct option is B on the x axis

Note that since f(x) < 0 then
$g\left(x\right)=|f\left(x\right)|=-f\left(x\right)$
The graph of g(x) = - f(x) is therefore the reflection of the graph of f on the x axis.