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