Question

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This coordinate plane represents the entire botanical garden where Vincent works. The rectangular figure on the coordinate plane is the original position of the rose garden. Vincent wants to slide the rose garden two yards east and four yards south. In this activity, you’ll help Vincent find the coordinates of the new rose garden.

Answer 1

Explanation:

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Answer 2

Answer: A=(5,2) B=(5,-1) C=(6,-1) D=(6,2)

Step-by-step explanation: part D: The x-coordinates of the translated figure are 2 more than the original x-coordinates. The y-coordinates of the translated figure are 4 less than the original y-coordinates.

Part E: A translation of two yards east involves moving 2 units in the positive x-direction. Given any initial x-coordinate, x, the algebraic expression that represents the new x-coordinate after the translation is x + 2.

Part F: A translation of four yards south involves moving 4 units in the negative y-direction. Given any initial y-coordinate, y, the algebraic expression that represents the y-coordinate after translation is y + (-4).

Part G: Combining the expressions from parts E and F, for any given initial point (x, y), the coordinates of the new point after a translation of two yards east and four yards south are (x + 2, y + (-4)).