Questions: The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C' : Which of the following completes the rule for this translation, (x, y) -> (x-8, ...) ? Select one: a. y-6 b. y-3 c. y+6 d. y+3

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C' : Which of the following completes the rule for this translation, (x, y) -> (x-8, ...) ? Select one: a. y-6 b. y-3 c. y+6 d. y+3
Transcript text: The coordinate grid below shows triangle $A B C$ and its image after translation, triangle $A^{\prime} B^{\prime} C^{\prime}$ : Which of the following completes the rule for this translation, $(x, y) \rightarrow(x-8, \ldots)$ ? Select one: a. $y-6$ b. $y-3$ c. $y+6$ d. $y+3$
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Solution

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Solution Steps

Step 1: Find the coordinates of A and A'

The coordinates of A are (3, 1). The coordinates of A' are (-5, 4).

Step 2: Determine the change in x and y coordinates

The change in the x-coordinate is -5 - 3 = -8. The change in the y-coordinate is 4 - 1 = 3.

Step 3: Write the translation rule

The translation rule is \((x, y) \rightarrow (x - 8, y + 3)\).

Final Answer

\\(\boxed{y + 3}\\)

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