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

To express the transformation mathematically, you take the original coordinates \( (X, V) \) and apply the translation. Moving left by 3 units subtracts 3 from the x-coordinate, and moving up by 4 units adds 4 to the y-coordinate. Therefore, the rule for the transformation can be written as: \[ (X, V) \rightarrow (X - 3, V + 4) \] This means for any point (X, V), you would subtract 3 from the x-value and add 4 to the y-value to find its new position after translation! Every time you think of translations, just picture yourself sliding those points around on the graph. Imagine you’re moving a piece on a game board—shifting it left and upwards is all about keeping track of those coordinates!