Given the function \( f(x) = 3x^2 \), this is a quadratic function. Let's evaluate the function for different values of \( x \). I'll show how to do this step by step:

### General Form:
\[
f(x) = 3x^2
\]

### Example Evaluations:
1. For \( x = 1 \):
   \[
   f(1) = 3(1)^2 = 3 \times 1 = 3
   \]

2. For \( x = 2 \):
   \[
   f(2) = 3(2)^2 = 3 \times 4 = 12
   \]

3. For \( x = -1 \):
   \[
   f(-1) = 3(-1)^2 = 3 \times 1 = 3
   \]

Would you like more examples or details on this?

Here are 5 relative questions for you to consider:
1. How would you find the vertex of this quadratic function?
2. What happens to the function when \( x = 0 \)?
3. What is the general shape of the graph of \( f(x) = 3x^2 \)?
4. How does the coefficient 3 affect the steepness of the parabola?
5. Can this function have negative values?

**Tip:** The coefficient of \( x^2 \) determines whether the parabola opens upward or downward and affects its width!

Explore how to evaluate the quadratic function f(x) = 3x^2 for various values of x. This problem demonstrates key algebraic concepts, including evaluating quadratic functions and understanding parabolas. Suitable for Grades 8-10 students learning about quadratic equations and graph behavior.

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