To find \( f(2) \) for the function \( f(x) = x^2 + 5 \), follow these steps:

1. Substitute \( x = 2 \) into the function:
   \[
   f(2) = (2)^2 + 5
   \]

2. Simplify:
   \[
   f(2) = 4 + 5 = 9
   \]

So, \( f(2) = 9 \).

Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:

1. What is \( f(3) \) for the same function?
2. How do you find \( f(x) \) for a general quadratic function?
3. How would the function change if the equation were \( f(x) = x^2 - 5 \)?
4. Can you find the vertex of the function \( f(x) = x^2 + 5 \)?
5. How does the graph of \( f(x) = x^2 + 5 \) compare to \( f(x) = x^2 \)?

**Tip:** Always substitute the given value directly into the function and simplify step-by-step for clarity.

Learn how to solve f(x) = x^2 + 5 by finding f(2) with a simple substitution method. This algebra problem introduces basic function substitution concepts, making it ideal for students in Grades 6-8.

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