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Use the image to determine the type of transformation shown.

Graph of polygon VWXYZ with W at point 3 comma negative 2. A second polygon V prime W prime X prime Y prime Z prime with W prime at point negative 3 comma negative 2.
270° counterclockwise rotation
Horizontal translation
Reflection across the x-axis
Reflection across the y-axis

1 answer

To determine the type of transformation shown in the graph of polygon VWXYZ and its image V'W'X'Y'Z', we look specifically at the coordinates given for point W and W'.

Given:

  • Point W is at (3, -2)
  • Point W' is at (-3, -2)

Looking at the coordinates:

  • The y-coordinate remains the same, which indicates there is no vertical movement.
  • The x-coordinate changes from 3 to -3, which indicates a horizontal transformation.

Since the y-coordinate is unchanged and the x-coordinate has changed sign, this suggests a reflection. Specifically, the reflection is across the y-axis.

Therefore, the transformation shown is a reflection across the y-axis.