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To plot the graph of the function \( f(x) = |x - 3| \), let's break it down step-by-step.

### Understanding the Function:
The given function is an absolute value function, which shifts the standard absolute value graph \( f(x) = |x| \).

- The parent function \( f(x) = |x| \) forms a "V" shape, with the vertex at the origin.
- The function \( f(x) = |x - 3| \) translates this graph horizontally by 3 units to the right. This is because the expression \( (x - 3) \) shifts the graph right by 3 units.

### Key Points to Plot:
1. **Vertex**: The vertex is at \( (3, 0) \), which is the point where the graph changes direction.
2. **Other Points**: Since the graph is symmetric, choose values for \( x \) and find the corresponding \( y \)-values:

- For \( x = 0 \), \( f(0) = |0 - 3| = 3 \). So, \( (0, 3) \) is a point.
- For \( x = 1 \), \( f(1) = |1 - 3| = 2 \). So, \( (1, 2) \) is a point.
- For \( x = 2 \), \( f(2) = |2 - 3| = 1 \). So, \( (2, 1) \) is a point.
- For \( x = 4 \), \( f(4) = |4 - 3| = 1 \). So, \( (4, 1) \) is a point.
- For \( x = 5 \), \( f(5) = |5 - 3| = 2 \). So, \( (5, 2) \) is a point.

### Plot:
- Start by plotting the vertex at \( (3, 0) \).
- Then plot the points \( (0, 3) \), \( (1, 2) \), \( (2, 1) \), \( (4, 1) \), and \( (5, 2) \).
- Connect these points, and remember the graph forms a V-shape with symmetry about the line \( x = 3 \).

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Plot the points on the graph of the function f(x) = |x - 3|.

Learn how to plot the graph of the absolute value function f(x) = |x - 3|. This problem explores key concepts of absolute value graphs and horizontal translations, suitable for students in Grades 8-10.

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