f (x) = 2x^2 +4x 
tabulacion en 0,1,-1,2,-2,3-3,4,-4,5,-5,-7

Here is the tabulation of the function \( f(x) = 2x^2 + 4x \) for the given points:

\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
0 & 0 \\
1 & 6 \\
-1 & -2 \\
2 & 16 \\
-2 & 0 \\
3 & 30 \\
-3 & 6 \\
4 & 48 \\
-4 & 16 \\
5 & 70 \\
-5 & 30 \\
-7 & 70 \\
\hline
\end{array}
\]

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Here are some related questions to expand the topic:
1. What is the derivative of \( f(x) = 2x^2 + 4x \)?
2. How would the graph of \( f(x) \) look like based on these values?
3. What are the roots of \( f(x) = 0 \)?
4. How does the value of \( f(x) \) behave as \( x \) increases or decreases?
5. How do we find the vertex of the parabola represented by \( f(x) \)?

**Tip:** When evaluating functions, checking critical points such as 0 and extreme negative/positive values gives insights into the function's behavior.

f(x) = 2x^2 + 4x, tabulacion en 0,1,-1,2,-2,3,-3,4,-4,5,-5,-7

Explore the tabulation of the quadratic function f(x) = 2x^2 + 4x at points 0, 1, -1, 2, -2, 3, -3, 4, -4, 5, -5, and -7. This solution provides key algebraic insights, including how to evaluate quadratic functions at specific values, along with useful examples. Suitable for students in Grades 9-10.

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