Questions: Translate the figure 3 units right and 1 unit up. Plot all of the points of the translated figure. You may click a plotted point to delete it.

Translate the figure 3 units right and 1 unit up.

Plot all of the points of the translated figure. You may click a plotted point to delete it.
Transcript text: Translate the figure 3 units right and 1 unit up. Plot all of the points of the translated figure. You may click a plotted point to delete it.
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Solution

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Solution Steps

Step 1: Identify the Coordinates of the Original Figure
  • The original figure is a triangle with vertices at the following coordinates:
    • Point A: (-5, -5)
    • Point B: (-3, -5)
    • Point C: (-4, -7)
Step 2: Apply the Translation to Each Point
  • Translate each point 3 units to the right and 1 unit up.
    • For Point A:
      • New x-coordinate: -5 + 3 = -2
      • New y-coordinate: -5 + 1 = -4
      • New coordinates: (-2, -4)
    • For Point B:
      • New x-coordinate: -3 + 3 = 0
      • New y-coordinate: -5 + 1 = -4
      • New coordinates: (0, -4)
    • For Point C:
      • New x-coordinate: -4 + 3 = -1
      • New y-coordinate: -7 + 1 = -6
      • New coordinates: (-1, -6)
Step 3: Plot the Translated Points
  • Plot the new coordinates on the graph:
    • Point A: (-2, -4)
    • Point B: (0, -4)
    • Point C: (-1, -6)

Final Answer

  • The translated figure has vertices at:
    • (-2, -4)
    • (0, -4)
    • (-1, -6)
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