Danielle wants to translate triangle XYZ so that vertex Y is moved from coordinates (- 4,2) to (0,-3). Which of the following mappings can be used to find the new
coordinates of X and Z?
A (x, y)-( * - 4, y + 5)
B (x, y)-(x+4, y - 5)
C(x, y)-(x - 4, y + 3)
D(x, y)-(x + 5, y - 4)

We need to use the mapping to find the new coordinates of X and Y.

Step-by-step explanation:

Vectorially speaking, we must look for the defintion of the translation operation such that vertex Y becomes vertex Y', which is represented by:

(1)

Where is the translation vector.

If we know that and , then the translation vector is:

If , and is the translated vector, then we obtain the following definition:

(2)

The correct answer is B.

step-by-step explanation:

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