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What is the image point of left parenthesis, minus, 4, comma, 7, right parenthesis(−4,7) after a translation left 4 units and down 4 units?

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1 answer

To find the image point of \((-4, 7)\) after a translation left 4 units and down 4 units, we need to adjust the coordinates accordingly.

  1. Translating left 4 units means we subtract 4 from the x-coordinate: \[ -4 - 4 = -8 \]

  2. Translating down 4 units means we subtract 4 from the y-coordinate: \[ 7 - 4 = 3 \]

So, the new coordinates after the translation are \((-8, 3)\).

Thus, the image point is \((-8, 3)\).