It looks like you're trying to define a function. I believe you meant:

\[ F(x) = x^2 \times 2 \]

This function means that for every input value \( x \), you square the value of \( x \) and then multiply the result by 2. In other words:

\[
F(x) = 2x^2
\]

### Example Calculation:
If \( x = 3 \):
\[
F(3) = 2 \times 3^2 = 2 \times 9 = 18
\]

Would you like more details or have any questions?

Here are some related questions to explore:

1. What is the derivative of \( F(x) = 2x^2 \)?
2. How would you find the value of \( F(x) \) when \( x = -4 \)?
3. How does the graph of \( F(x) = 2x^2 \) compare to \( F(x) = x^2 \)?
4. What are the roots (solutions) of the equation \( 2x^2 = 0 \)?
5. How can you integrate \( F(x) = 2x^2 \)?

**Tip**: When graphing \( F(x) = 2x^2 \), the "2" causes the parabola to stretch vertically compared to \( F(x) = x^2 \).

Learn how to work with the function F(x) = 2x^2, including squaring the input value and multiplying the result by 2. This problem helps students understand key algebraic concepts related to quadratic functions. Example calculations and graph transformations are provided. Suitable for students in Grades 8-10.

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