Answer:
First option, g(x) = −3∣x∣ - 5
Step-by-step explanation:
The function f(x) = −3∣x∣ represents a V-shaped graph, which opens downwards because of the negative sign in front of the 3.
To translate this graph 5 units down, you would subtract 5 from the function. This would not affect the 'x' inside the absolute value, since that would move the graph horizontally, but it would affect the whole function.
Therefore, the translated function would be:
⇒ g(x) = −3∣x∣ - 5
This aligns with the first option.
