You are given the equation $y = |x| - 2$ and asked to find the corresponding $y$-value when $x = -3$.

To solve this:

1. Start by calculating the absolute value of $x = -3$: $|x| = |-3| = 3$

2. Substitute $|x|$ into the equation $y = |x| - 2$: $y = 3 - 2 = 1$

So, when $x = -3$, the $y$-value is $1$.

Would you like further details or have any other questions?

Here are 5 related questions for further exploration:

1. What is the value of $y$ when $x = 0$ for the same equation?
2. How would you graph the equation $y = |x| - 2$ for values of $x$ from $-3$ to $3$?
3. How does the graph of $y = |x| - 2$ differ from the graph of $y = |x|$?
4. Can you find the x-intercept(s) for the equation $y = |x| - 2$?
5. How do you interpret the transformation of the absolute value function caused by the "−2"?

Tip: The graph of $y = |x| - 2$ is a V-shape shifted downward by 2 units from the origin.