The problem asks to translate the graph of the function $f(x) = |x| - 5$ 1 unit to the left, and then find the resulting function $g(x)$.

To translate a function to the left by 1 unit, we replace $x$ with $x + 1$ in the function. So, the translation of $f(x)$ by 1 unit left will be:

$g(x) = |x + 1| - 5$

Thus, the translated function is:

$g(x) = |x + 1| - 5$

Would you like further details or explanations on this?

Here are 5 related questions to explore:

1. How do you translate a graph to the right instead of the left?
2. What happens when you translate a graph vertically instead of horizontally?
3. How would the graph change if you translated it by 2 units left?
4. How does the translation affect the vertex of an absolute value function?
5. What other transformations can be applied to the graph of an absolute value function?

Tip:

When translating a graph horizontally, adding a value inside the function moves the graph in the opposite direction. For example, $x + 1$ moves the graph to the left, while $x - 1$ moves it to the right.