Question

Y

2
Y
1
-1
0
2
X
Z
X
Choose the algebraic description that maps the image AXYZ onto AX'Y'Z'.
A) (x, y) - (x - 6, y - 1)
B)(x, y) - (x - 5, y - 1)
x– X - ,
C) (x, y) = (x + 6, y - 1)
OD) (x, y) -- (x + 5, y - 1)

Answer 1

Answer: A) (x,y) → (x-6, y-1)

Explanation: When a figure is "transported" from one location to another without changing its shape, size or orientation, it is said that the figure is translated.

If x-coordinate moves to the right and y-coordinate moves up, we add units; If the x-ccordinate moves to the left and y-coordinate moves down, we subtract units. For example:

The position of vertex X in ΔXYZ is (1,-2). While in triangle ΔX'Y'Z', vertex X's coordinates are (-5,-3).

So, comparing them, x-coordinate for X' is 6 points to the left of X and y-coordinate is 1 point down of X, so, the translation will be

(X,Y) → (x-6, y-1)