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A shape is translated left 3 units and up 4 unit Write the rule for the transformation. \( (X, V) \rightarrow( \)

Ask by Page Williams. in the United States
Feb 26,2025

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Answer

The transformation rule is: (X, V) → (X – 3, V + 4).

Solution

The rule for translating a point left 3 units and up 4 units is: (X, V) → (X – 3, V + 4)

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To translate a shape left by 3 units and up by 4 units, you need to adjust the coordinates accordingly. Since moving left subtracts from the x-coordinate, and moving up adds to the y-coordinate, the transformation rule can be expressed as: \( (X, V) \rightarrow (X - 3, V + 4) \). Now, every point of the shape will shift smoothly to its new location! When translating shapes, remember that the transformation is uniform – every point moves the same distance. This means if you have a triangle or a polygon, all corners will shift left and up in tandem, creating a perfectly translated figure that keeps its shape and size intact. Happy transforming!

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