graph the equation yequals=StartRoot x minus 3 EndRootx−3

Here is the graph of the equation \( y = \sqrt{x - 3} \). As shown, the graph starts at \( x = 3 \), because the square root function requires \( x - 3 \geq 0 \), which means \( x \geq 3 \).

Would you like further details or have any questions? 

Here are some related questions to explore:
1. How does the graph change if we shift the equation by adding constants?
2. What happens to the graph if we change the square root to a different root, like cube root?
3. Can you express the domain and range of this function explicitly?
4. How would you graph \( y = \sqrt{2x - 6} \)?
5. What is the derivative of \( y = \sqrt{x - 3} \) and how does it describe the slope of the graph?

**Tip:** Always consider the domain of a square root function when graphing, as it determines where the function is defined!

Learn how to graph the square root function y = √(x - 3). This guide covers key concepts, including the domain and range of square root functions, and how to shift graphs. Suitable for students in Grades 9-11.

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