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What is the image point of 
(-2,6) after a translation left 2 units and up 4 units?

What is the image point of (2,6) (-2,6) after a translation left 22 units and up 44 units?

Full solution

Q. What is the image point of (2,6) (-2,6) after a translation left 22 units and up 44 units?
  1. Understand the translation: Understand the translation.\newlineA translation left 22 units will decrease the xx-coordinate by 22. A translation up 44 units will increase the yy-coordinate by 44.
  2. Apply to x-coordinate: Apply the translation to the x-coordinate.\newlineThe original x-coordinate is 2-2. After moving left 22 units, the new x-coordinate will be 22=4-2 - 2 = -4.
  3. Apply to y-coordinate: Apply the translation to the y-coordinate.\newlineThe original y-coordinate is 66. After moving up 44 units, the new y-coordinate will be 6+4=106 + 4 = 10.
  4. Combine new coordinates: Combine the new coordinates to get the image point. The new coordinates are (4,10)(-4, 10), which is the image point after the translation.

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