Question

about the relationship between each original point and translated point when you translated 1 unit down and 4 units to the left? original point translated point d (-3, 4) d (-7, 3) e (2, 8) e (-2, 7) f (1, -6) f (-3, -7) compared to the original point, the x - coordinate of the translated point by, and the y - coordinate of the translated point by.

Explanation:

Step1: Analyze x - coordinate change

For point D: Original $x=-3$, Translated $x = - 7$, $-7-(-3)=-4$. For point E: Original $x = 2$, Translated $x=-2$, $-2 - 2=-4$. For point F: Original $x = 1$, Translated $x=-3$, $-3 - 1=-4$. The x - coordinate of the translated point decreases by 4.

Step2: Analyze y - coordinate change

For point D: Original $y = 4$, Translated $y = 3$, $3-4=-1$. For point E: Original $y = 8$, Translated $y = 7$, $7 - 8=-1$. For point F: Original $y=-6$, Translated $y=-7$, $-7-(-6)=-1$. The y - coordinate of the translated point decreases by 1.

Answer:

The x - coordinate of the translated point decreases by 4, and the y - coordinate of the translated point decreases by 1.