Given the function \( f(x) = x^2 + 5x - 7 \), we need to find \( f(-2) \).

To do this, we substitute \( x = -2 \) into the function:

\[
f(-2) = (-2)^2 + 5(-2) - 7
\]

Now, let's compute it step by step:

\[
(-2)^2 = 4
\]
\[
5(-2) = -10
\]
\[
f(-2) = 4 - 10 - 7 = -13
\]

So, \( f(-2) = -13 \).

Would you like more details on the process?

Here are 5 related questions to expand your understanding:
1. How would you find \( f(3) \) using the same function \( f(x) = x^2 + 5x - 7 \)?
2. What is the general process for finding \( f(x) \) when given a function?
3. How do the terms in \( x^2 + 5x - 7 \) affect the shape of the graph?
4. What is the vertex of the parabola described by \( f(x) = x^2 + 5x - 7 \)?
5. How would the function change if it were \( f(x) = -x^2 + 5x - 7 \)?

**Tip:** When evaluating functions at a given value of \( x \), always apply the substitution carefully, paying attention to negative signs.

Learn how to solve the function f(x) = x^2 + 5x - 7 by finding f(-2). This step-by-step solution explains the substitution process and provides insights into quadratic functions. Perfect for students in Grades 8-10.

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