Here is the graph of the equation \( y = 3|x - 3| \). 

- The graph forms a V-shape with the vertex at the point \( (3, 0) \).
- The slope of the arms is steeper than that of the basic absolute value function \( y = |x| \), due to the vertical stretch factor of 3.
- The graph is symmetric about the vertical line \( x = 3 \).

Do you want further details or have any questions?

### Related Questions:
1. How does changing the coefficient \( a \) affect the graph of \( y = a|x - h| + k \)?
2. What happens to the graph if we shift the vertex to a different point, say \( h = 5 \) and \( k = 2 \)?
3. How does the graph change if we flip the function, making \( a \) negative, like \( y = -3|x - 3| \)?
4. How does this graph compare to the basic graph of \( y = |x| \)?
5. What are the equations of the lines that form the two arms of the V-shape?

### Tip:
The graph of an absolute value function is always symmetric, so analyzing one side of the V-shape often gives you all the information needed to plot the entire graph.

Explore the graph of the absolute value function y = 3|x - 3| with detailed explanations of its vertex, symmetry about x = 3, and the steepness of its arms compared to the basic absolute value function. Learn how changing the coefficient affects the graph and understand the equations of the lines forming the V-shape.

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