Question

graph the function using transformations.
$g(x) = -\frac{1}{3}|x|$

each grid shows $f(x) = |x|$ in blue. which grid also shows, in pink, $g(x) = -\frac{1}{3}|x|$?

options a, b, c, d (with corresponding graphs)

Explanation:

Answer:

(Note: Since the visual details of the grid options are not fully clear, the correct graph is the one that is a vertical compression by a factor of $\frac{1}{3}$ and reflection over the x-axis of $f(x)=|x|$, meaning its V-shape opens downward and is narrower than the original blue $|x|$ graph.)