https://file.aiquickdraw.com/mathbot/file/1728486890662ytmz3lnt.jpg

To complete the table in the image, we need to evaluate the given functions \( y = 2x^2 \) and \( y = 2^x \) for the values of \( x \).

### Function 1: \( y = 2x^2 \)
- When \( x = 1 \): \( y = 2(1)^2 = 2(1) = 2 \)
- When \( x = 2 \): \( y = 2(2)^2 = 2(4) = 8 \)

### Function 2: \( y = 2^x \)
- When \( x = 1 \): \( y = 2^1 = 2 \)
- When \( x = 2 \): \( y = 2^2 = 4 \)

Now, let's update the table:

\[
\begin{array}{|c|c|c|}
\hline
x & y = 2x^2 & y = 2^x \\
\hline
0 & 0 & 1 \\
\hline
1 & 2 & 2 \\
\hline
2 & 8 & 4 \\
\hline
\end{array}
\]

Let me know if you'd like more details or explanations on these calculations!

### Related questions:
1. How do you derive the formula \( y = 2x^2 \)?
2. Can you graph the function \( y = 2x^2 \) for better understanding?
3. What is the general form of exponential functions like \( y = 2^x \)?
4. What happens to \( y = 2x^2 \) as \( x \) increases or decreases?
5. How does \( y = 2^x \) differ from \( y = 2x^2 \) in growth rate?

**Tip:** When working with functions, identifying patterns in the numbers (like quadratic vs. exponential growth) can help with predicting future values easily.

Complete the table with the functions y = 2x^2 and y = 2^x for values of x = 0, 1, and 2.

Learn how to complete a table with the functions y = 2x^2 and y = 2^x for x = 0, 1, and 2. This problem focuses on quadratic and exponential growth, exploring the differences between the two types of functions. Ideal for students in Grades 6-8.

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