The function \( y = 2|x - 3| \) is a transformation of the parent function \( y = |x| \).
Here's a breakdown of how the transformations work:
- The absolute value function: The parent function is \( y = |x| \).
- The transformation:
- The expression \( |x - 3| \) indicates a horizontal shift to the right by 3 units.
- The coefficient 2 indicates a vertical stretch by a factor of 2.
So the parent function for your transformed function \( y = 2|x - 3| \) is \( y = |x| \).
Therefore, the correct answer is \( y = |x| \).