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!