To determine which image corresponds to the translation, we need to have the original point and the translated point provided. Since the original point and its image are not directly mentioned in your question, I'll walk you through how to find the correct image given the translation.
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Identify the vector of translation: The translation is usually represented as adding a certain vector (a, b) to the coordinates of the original point (x, y).
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Apply the translation to the new point: If you know the original point and the translated point, you can determine that vector and then apply it to a new point.
Let's take an example. If the original point A(x, y) is translated to point A'(x', y'), we can find the translation vector as:
- \( a = x' - x \)
- \( b = y' - y \)
To find the image of another point B(x_B, y_B) using the same translation, you'd calculate:
- \( B' = (x_B + a, y_B + b) \)
If you provide me with the specific coordinates of the original and image points or the desired point, I can help you further. Alternatively, you might have options ready, but without knowledge of the original point or translation, I can't select the correct response. Please provide that information for accurate assistance!