To evaluate $f(-2)$ for the function $f(x) = -3x + 3$:

1. Substitute $x = -2$ into the function: $f(-2) = -3(-2) + 3$

2. Calculate $-3 \times -2$: $-3 \times -2 = 6$

3. Add 3 to the result: $f(-2) = 6 + 3 = 9$

Answer:

$f(-2) = 9$

Would you like more details or have any questions?

Here are some related questions to explore:

1. What would be $f(x)$ if $x = 0$ in this function?
2. How would the result change if the function was $f(x) = 3x + 3$ instead?
3. What is the general form of a linear function, and how does it relate to this function?
4. How can you graph this function on a coordinate plane?
5. How would you determine the slope and y-intercept of this function?

Tip: When evaluating functions, always substitute carefully and keep track of negative signs.