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.