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find c after t(x,y)=(x - 2,y - 3). c = (5,?)

Question

find c after t(x,y)=(x - 2,y - 3). c = (5,?)

Explanation:

Step1: Find the original coordinates of point C

From the graph, the coordinates of point \( C \) are \( (4,7) \).

Step2: Apply the transformation \( T(x,y)=(x - 2,y - 3) \)

For the \( x \)-coordinate: \( x'=4-2 \)
For the \( y \)-coordinate: \( y'=7 - 3 \)

Calculate \( x'=2 \) and \( y'=4 \)

Answer:

\((2,4)\)