Final answer:
The graphs of f(x) = |x| and g(x) = |5x| relate in terms of stretches and translations.
Step-by-step explanation:
The graphs of f(x) = |x| and g(x) = |5x| relate to each other in terms of their stretches and translations.
1. Stretch: The graph of g(x) = |5x| is a horizontal stretch of the graph of f(x) = |x| by a factor of 5. This means that the graph of g(x) is narrower than the graph of f(x) because every x-coordinate in g(x) is divided by 5.
2. Translation: The graph of g(x) = |5x| is also shifted to the left compared to the graph of f(x) = |x| by a distance of 0.