https://file.aiquickdraw.com/mathbot/file/1726541461929m04cx1j4.jpg

From the image, we are given the function \( f(x) = \frac{1}{2}x^2 \).

However, the problem is asking to "write down the expression for \( h(x) \)," but there is no definition for \( h(x) \) given in the image.

Could you provide more context or clarify the relationship between \( f(x) \) and \( h(x) \)? This way, I can help with the expression for \( h(x) \).

Let me know if you'd like more details or have any questions!

Here are some related questions to consider:

1. Is \( h(x) \) related to a transformation of \( f(x) \)?
2. Could \( h(x) \) represent a derivative or an integral of \( f(x) \)?
3. Are there any conditions or constraints on \( h(x) \) that haven't been shown?
4. Do you have more context on how \( f(x) \) and \( h(x) \) are linked in your problem?
5. Could \( h(x) \) be a shifted or stretched version of \( f(x) \)?

**Tip:** Always ensure the relationship between two functions is clearly defined to avoid confusion when solving!

The function f(x) is defined by f(x) = 1/2 * x^2. Write down the expression for h(x).

Explore how to derive the expression for h(x) based on the function f(x) = 1/2 * x^2. This problem addresses core algebraic concepts and function transformations, ideal for students in Grades 10-12.

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