https://file.aiquickdraw.com/mathbot/file/17256237190037hsuy28i.jpg

The graph shown in the image is a "V" shape, which is characteristic of the absolute value function. The parent function that represents this graph is \( f(x) = |x| \).

Thus, the correct choice for the equation of the parent function that matches the graph is:

**\( f(x) = |x| \)**

Would you like more details on absolute value functions or have any other questions?

Here are 5 related questions to deepen your understanding:
1. How does the graph of \( f(x) = |x| \) change if you add or subtract a constant inside the absolute value?
2. What effect does multiplying the function \( f(x) = |x| \) by a negative number have on the graph?
3. How would the graph of \( f(x) = |x| \) shift if you add or subtract a constant outside the absolute value?
4. How does the graph of \( f(x) = x^2 \) compare to \( f(x) = |x| \)?
5. Can you describe a real-life scenario that could be modeled using the absolute value function?

**Tip:** Remember, the absolute value function always outputs non-negative values, which is why its graph forms a "V" shape.

Select the choice for the equation of the parent function that matches the graph.

Learn how to identify the parent function for a given graph. This example covers the absolute value function f(x) = |x|, often characterized by its V-shaped graph. Suitable for students in Grades 8-10.

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