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The question in the image is asking for the transformation that maps the function \( y = 3x^2 - 2 \) to \( y = 6x^2 - 4 \).

This appears to be a **dilation** transformation. Dilation involves scaling the function by a certain factor.

We have the original function:
\[
y = 3x^2 - 2
\]
And the transformed function:
\[
y = 6x^2 - 4
\]

By comparing the two equations, we can see that every term has been multiplied by a factor of **2**:
- The coefficient of \( x^2 \) changes from 3 to 6.
- The constant term changes from \(-2\) to \(-4\).

Thus, the dilation transformation scales the entire function by a factor of **2**.

If you need more details or explanations, feel free to ask! Here are some related questions you might find useful:

1. What is a dilation transformation in mathematics?
2. How does scaling affect the shape of a quadratic function?
3. Can dilation transformations involve different factors for the \(x\)-axis and \(y\)-axis?
4. What other transformations could apply to functions, such as translations or reflections?
5. How do dilation and stretching transformations differ?

**Tip:** When transforming functions, always compare the coefficients of corresponding terms to identify the transformation factor.

Transformasi dilatasi yang memetakan fungsi y = 3x^2 - 2 menjadi y = 6x^2 - 4 adalah ....

This problem explores the dilation transformation of the quadratic function y = 3x^2 - 2, which is mapped to y = 6x^2 - 4. Learn how the scaling factor of 2 applies to both the x^2 and constant terms. Suitable for students in Grades 8-10.

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