evaluate each function -5 x^2 + 12 x - 12 (x = 2)

To evaluate the function given by \( -5x^2 + 12x - 12 \) when \( x = 2 \), we substitute \( x = 2 \) into the function.

The function is:

\[
f(x) = -5x^2 + 12x - 12
\]

Substituting \( x = 2 \):

\[
f(2) = -5(2)^2 + 12(2) - 12
\]

Now, calculate step by step:

1. \( 2^2 = 4 \)
2. \( -5 \times 4 = -20 \)
3. \( 12 \times 2 = 24 \)
4. So, \( f(2) = -20 + 24 - 12 \)

Now, simplify:

\[
f(2) = 4 - 12 = -8
\]

Thus, the value of the function when \( x = 2 \) is:

\[
f(2) = -8
\]

**Would you like further details or have any questions?**

### Related Questions:
1. How do you evaluate polynomial functions?
2. What are the steps for simplifying expressions with multiple terms?
3. How do you substitute values into a function correctly?
4. How do you perform arithmetic operations on integers?
5. What are some common errors to avoid when evaluating functions?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when evaluating functions.

Learn how to evaluate the function -5x^2 + 12x - 12 when x = 2 with detailed step-by-step calculations. This problem covers polynomial functions, substitution of values, and arithmetic operations. Suitable for students in Grades 9-12.

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