Questions: Match the following TRANSLATIONS (x, y) -> (x-5, y+2) (x, y) --> (x-3, y+4) (x, y) -> (x+3, y+4) left 3, up 4 left 3, down 4 right 3, down 4 right 5, up 2 left 5, up 2

Match the following TRANSLATIONS (x, y) -> (x-5, y+2) (x, y) --> (x-3, y+4) (x, y) -> (x+3, y+4) left 3, up 4 left 3, down 4 right 3, down 4 right 5, up 2 left 5, up 2
Transcript text: Match the following TRANSLATIONS \[ \begin{array}{c} (x, y)->(x-5, y+2) \end{array} \] \[ (x, y)-->(x-3, y+4) \end{array} \] \[ (x, y) \rightarrow(x+3, y+4) \] left 3, up 4 left 3, down 4 right 3, down 4 right 5, up 2 left 5, up 2
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Solution

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Solution Steps

To solve the problem of matching translations, we need to understand how each transformation affects the coordinates (x, y). We will compare the given transformations with the options provided to find the correct match.

  1. Analyze the transformation \((x, y) \rightarrow (x-5, y+2)\) and determine the direction and magnitude of the translation.
  2. Compare this transformation with the options provided to find the correct match.
Step 1: Analyze the Given Transformation

The transformation provided is \((x, y) \rightarrow (x-5, y+2)\). This means that each point \((x, y)\) is translated by moving 5 units to the left and 2 units up.

Step 2: Compare with Options

We need to compare the given transformation with the options provided:

  • Option 1: Left 3, up 4 \((x, y) \rightarrow (x-3, y+4)\)
  • Option 2: Left 3, down 4 \((x, y) \rightarrow (x-3, y-4)\)
  • Option 3: Right 3, down 4 \((x, y) \rightarrow (x+3, y-4)\)
  • Option 4: Right 5, up 2 \((x, y) \rightarrow (x+5, y+2)\)
  • Option 5: Left 5, up 2 \((x, y) \rightarrow (x-5, y+2)\)
Step 3: Identify the Correct Match

The transformation \((x, y) \rightarrow (x-5, y+2)\) matches with Option 5, which describes moving left 5 units and up 2 units.

Final Answer

\(\boxed{\text{Left 5, up 2}}\)

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