Answer: Graph B
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Explanation:
f(x) is shown in the blue dashed line, while g(x) is a solid black line.
When going from |x| to 3|x|, we are multiplying each y output value by 3. So a point like (4,4) on f(x) moves to (4,12) on g(x). A point like (-3,3) on f(x) moves to (-3,9) on g(x). And so on.
This will result in g(x) being taller and skinnier/narrower compared to f(x) as shown in graph B. We have vertical stretching going on here.
The vertex of each V shape is the same and that's at the origin (0,0).
No translations (horizontal or vertical shifting) are occurring.
