https://file.aiquickdraw.com/mathbot/file/17263864054042v6ctoxl.jpg

The expression in the image shows the following mathematical equation:

\[
f(-2) = -(-2)^2 - 1
\]

Now, let's evaluate this step by step:

1. **Exponentiation**: \((-2)^2\) means \((-2) \times (-2) = 4\).
   
   So the expression becomes:
   \[
   f(-2) = -4 - 1
   \]

2. **Subtraction**: \(-4 - 1 = -5\).

Thus, the final value is:

\[
f(-2) = -5
\]

Would you like further clarification or details on this process?

Here are 5 related questions to explore:
1. What is the general form of the function \( f(x) = -(x^2) - 1 \)?
2. How do different values of \(x\) affect the output of this function?
3. What is the significance of squaring a negative number?
4. How does the function behave for positive and negative inputs?
5. Can we graph this function to understand its shape?

**Tip**: Always handle the order of operations carefully, especially with negative numbers and exponents.

Learn how to solve the function f(x) = -(x^2) - 1 for f(-2), with a detailed step-by-step solution. This problem covers key algebraic concepts, including exponentiation of negative numbers and the order of operations. Suitable for students in Grades 6-8.

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