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Option C: is the coordinates of C after translation.
Explanation:
The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).
Also, given that the triangle is translated 4 units down and 3 units left.
We need to determine the coordinates of the vertex C after translation.
The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.
Thus, it can be written as
Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.
Thus, it can be written as
Thus, the translation is given by
The vertices of C after translation can be determined by
Thus, is the coordinates of C after translation.
Hence, Option C is the correct answer.