1. គេមានអនុគមន៍ f កំណត់ដោយ y = f(x) = x² - 2x មានក្រាប (C) ។ 
 ក. រកដែនកំណត់ ។ 
 ខ. គណនាលីមីត ។ 
 គ. គណនាដេរីវេ f'(x) ។ សិក្សាសញ្ញា f'(x) ។ 
 ឃ. សង់តារាងអថេរភាព f ។ 
 ង. សង់ក្រាប 📉? 
 Please tell me 

Here is the graph of the function \( f(x) = x^2 - 2x \). As you can see:

- The graph is a parabola opening upwards.
- The vertex of the parabola is at \( (1, -1) \), which is the minimum point.
- The parabola crosses the x-axis at \( (0, 0) \) and \( (2, 0) \), which are the roots of the equation.

Would you like any further details or explanations?

Here are 8 related questions to deepen your understanding:

1. How do you find the y-intercept of a function, and what is it for this function?
2. What is the significance of the vertex in a quadratic function?
3. Can you determine the axis of symmetry for this graph?
4. How would the graph change if the function were \( f(x) = -x^2 + 2x \)?
5. What are the coordinates of the turning point for the function \( f(x) = ax^2 + bx + c \)?
6. How would you determine if a quadratic function has real roots?
7. What is the range of the function \( f(x) = x^2 - 2x \)?
8. How can you verify the sign of the derivative \( f'(x) \) over different intervals?

**Tip:** Understanding the role of the derivative in determining the increasing and decreasing nature of functions can help you sketch graphs more accurately.

Explore the quadratic function f(x) = x^2 - 2x with its graph, vertex, roots, and derivative analysis. This page covers key concepts including vertex form, axis of symmetry, and the nature of roots of quadratic equations. Suitable for high school students studying algebra and calculus.

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