The point T(4,–5) is translated 3 units up. What are the coordinates of the resulting point, T'?
Question
The point T(4,–5) is translated 3 units up. What are the coordinates of the resulting point, T'?
Solution
The point T(4, -5) is translated 3 units up. This means that we add 3 to the y-coordinate of the point T.
Step 1: Identify the original coordinates of point T, which are (4, -5).
Step 2: Understand that translating a point up or down affects the y-coordinate. Translating up means adding to the y-coordinate, while translating down means subtracting from the y-coordinate.
Step 3: Translate the point T 3 units up. This means we add 3 to the y-coordinate of -5.
So, -5 + 3 = -2
Step 4: The x-coordinate remains the same because the point is not being translated left or right.
So, the coordinates of the translated point T' are (4, -2).
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