Question

Predict what will happen to the coordinates of a point (x, y) as the point translates to produce point (x′, y′). Assume that the point translates a units to the left or right and b units up or down. Express your answers in terms of x, y, a, and b. Be sure to watch your signs.

Answer 1

(x' , y') = ( (x ± 1) , (y ± b) )

Explanation:

(object vector) = (x', y')

(translation vector) = ( ±1 , ±b ) ==> Since horizontal movement (x) is right/ or left meaning ±1 , and vertical movement(y) is up or down meaning ±b

Notice that : (image vector) = (object vector) + (translation vector)

therefore (x' , y') = ( (x ± 1) , (y ± b) )