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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?

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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.

Evaluate the function f(x) = -3x + 3 for x = -2.

Learn how to evaluate the function f(x) = -3x + 3 at x = -2. This example covers basic algebraic substitution and function notation, making it ideal for middle school students in Grades 6-8.

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