Questions: Use the graph below to enter a single translation rule. Complete the rule that describes the translation. (x, y) → (Type an ordered pair.)

Transcript text: Use the graph below to enter a single translation rule. Complete the rule that describes the translation. \[ (x, y) \rightarrow \] (Type an ordered pair.)

Solution

Solution Steps

Step 1: Identify corresponding points on the preimage and image

Let's pick the leftmost point on the preimage, which has coordinates \((-3, 1)\). The corresponding point on the image has coordinates \((0, 0)\).

Step 2: Determine the translation rule

To go from the preimage point \((-3, 1)\) to the image point \((0, 0)\), we need to add 3 to the x-coordinate and subtract 1 from the y-coordinate. Therefore, the translation rule is: \[(x, y) \rightarrow (x+3, y-1)\]

Final Answer:

\((x, y) \rightarrow (x+3, y-1)\) \(\boxed{(x+3, y-1)}\)

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