Given f, of, x, equals, minus, x, squaredf(x)=−x 
2
 , find f, of, minus, 1f(−1)

Given the function \( f(x) = -x^2 \), we want to find \( f(-1) \).

Substitute \(-1\) for \(x\) in the function:

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

Calculate \((-1)^2\):

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

So, the expression becomes:

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

Thus, \( f(-1) = -1 \).

Would you like more details or have any questions? 

Here are 5 related questions:

1. What is \( f(2) \) for the function \( f(x) = -x^2 \)?
2. How does the graph of \( f(x) = -x^2 \) differ from \( f(x) = x^2 \)?
3. What is the vertex of the parabola represented by \( f(x) = -x^2 \)?
4. How would you find the roots of the function \( f(x) = -x^2 \)?
5. What is the range of the function \( f(x) = -x^2 \)?

**Tip:** When substituting values into a function, always follow the order of operations, especially with negative numbers and exponents.

Learn how to find f(-1) for the quadratic function f(x) = -x^2 with a detailed solution. This problem introduces function substitution and basic operations, making it suitable for students in Grades 7-9. Understand how negative values and exponents interact in this algebra problem.

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