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question what is the image point of $(3,-4)$ after a translation left 2…

Question

question
what is the image point of $(3,-4)$ after a translation left 2 units and up 5 units?
answer anemprt

Explanation:

Step1: Calculate the x - coordinate

For a translation left \(2\) units, subtract \(2\) from the \(x\) - coordinate.
Original \(x\) - coordinate is \(3\), new \(x\) - coordinate: \(3 - 2=1\)

Step2: Calculate the y - coordinate

For a translation up \(5\) units, add \(5\) to the \(y\) - coordinate.
Original \(y\) - coordinate is \(-4\), new \(y\) - coordinate: \(-4 + 5 = 1\)

Answer:

\((1,1)\)