The function provided is:

\[
F(x) = 5x^2 - 1
\]

To find \( F(12) \), substitute \( x = 12 \) into the equation:

\[
F(12) = 5(12)^2 - 1
\]

Now, let's calculate it:

\[
F(12) = 5(144) - 1 = 720 - 1 = 719
\]

So, \( F(12) = 719 \).

Would you like more details or explanations on this? Here are five related questions to extend this topic:

1. What happens to \( F(x) \) if we change the coefficient of \( x^2 \)?
2. How would the graph of \( F(x) = 5x^2 - 1 \) look?
3. Can you find \( F(x) \) when \( x = -12 \)?
4. What is the general form of a quadratic function?
5. How does this function behave for very large values of \( x \)?

**Tip:** Always double-check your substitution steps when evaluating functions to avoid errors!

Learn how to evaluate the quadratic function F(x) = 5x^2 - 1 at x = 12 with step-by-step guidance. This example highlights substitution in quadratic functions, making it suitable for students in Grades 7-9.

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