https://file.aiquickdraw.com/mathbot/file/1727060280553omgd1tyc.jpg

The image shows two mathematical functions:

11. \( f(x) = (x - 2)^2 \)

12. \( f(x) = \sqrt{x - 4} \)

Would you like a detailed solution or explanation for either of these functions? Let me know if you'd like to find derivatives, integrals, or anything else related to these functions.

Here are 5 related questions you could explore:

1. What is the derivative of \( f(x) = (x - 2)^2 \)?
2. How do you find the domain of \( f(x) = \sqrt{x - 4} \)?
3. What is the vertex of the function \( f(x) = (x - 2)^2 \)?
4. How does \( f(x) = \sqrt{x - 4} \) behave as \( x \) increases?
5. How do you graph \( f(x) = (x - 2)^2 \) and \( f(x) = \sqrt{x - 4} \)?

**Tip**: Always check the domain of a function, especially when dealing with square roots and other operations that restrict values of \( x \).

Solve the functions: 11. f(x) = (x - 2)^2, 12. f(x) = √(x - 4).

Learn how to solve the quadratic function f(x) = (x - 2)^2 and the square root function f(x) = √(x - 4). This involves finding the vertex of the parabola, determining the domain for the square root, and understanding function behavior. Ideal for students in Grades 9-11.

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