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The given function is \( f(x) = |x - 1| \), and you are asked to reflect it vertically. 

Reflecting a function vertically is done by multiplying the entire function by \(-1\). This means the new equation will be:

\[
f(x) = -|x - 1|
\]

Following the instruction to not use spaces, the final result should be written as:

\[
-abs(x-1)
\]

Would you like further clarification on vertical reflections or other related transformations?

Here are 5 related questions to further your understanding:
1. How do we reflect a function horizontally?
2. What happens if we reflect the same function \( |x-1| \) horizontally instead of vertically?
3. How do translations affect the graph of absolute value functions?
4. What are the general transformations that can be applied to any function?
5. How does stretching or compressing a function vertically differ from reflecting it?

**Tip:** Always remember, vertical transformations affect the "outside" of a function (like multiplying the whole function), while horizontal transformations affect the "inside" (modifying the input \(x\)).

If we reflect the function f(x) = |x - 1| vertically, what is the equation of the result?

Learn how to reflect the absolute value function |x - 1| vertically. This solution explains the key concepts of function transformation, including the formula for vertical reflection. Suitable for students in Grades 9-12.

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