Which are the images of the vertices of ΔPQR for the translation (x, y) → (x - 2, y - 5)?

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Which are the images of the vertices of ΔPQR for the translation (x, y) → (x - 2, y - 5)? Graph the image of ΔPQR.
Identify the coordinates of each vertex. Use the translation rule to find the coordinates of each vertex of the image.
P(4, 7) → ( , )
Q(1, 3) → ( , )
R(0, 3) → ( , )
To graph the image of ΔPQR, first graph P, Q, and R. Then draw PQ, QR, and RP.
There are three ways to write a translation.
For example, a translation that moves a point 4 units right and 3 units down can be written as follows:

SnapAndSolve AI · Accepted Answer

To find the images of the vertices of ΔPQR for the translation (x, y) → (x - 2, y - 5), apply the translation to each vertex:
- P(4, 7) → (4 - 2, 7 - 5) = (2, 2)
- Q(1, 3) → (1 - 2, 3 - 5) = (-1, -2)
- R(0, 3) → (0 - 2, 3 - 5) = (-2, -2)
Graph the image of ΔPQR by plotting the points P'(2, 2), Q'(-1, -2), and R'(-2, -2). Then draw the lines connecting P'Q', Q'R', and R'P'.
There are three ways to write a translation:
- Using a vector notation, e.g., (x, y) → (x + a, y + b)
- Using a rule notation, e.g., T_a,b(x, y) = (x + a, y + b)
- Using a description, e.g., 'move a units right and b units down'
For example, a translation that moves a point 4 units right and 3 units down can be written as:
- (x, y) → (x + 4, y - 3)
- T_4,-3(x, y) = (x + 4, y - 3)
- 'Move 4 units right and 3 units down'

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Which are the images of the vertices of ΔPQR for the translation (x, y) → (x - 2, y - 5)?

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