Question

Point A has the coordinates (2,2). What are the coordinates of its image point if it is translated 2 units up and 5 units to the left, and reflected in the x axis?

Answer 1

A translation of 2 units up will increase the y coordinate by 2 units and a translation by 5 units to the left will decrease the x coordinate by 5. Hence after these translations point (2,2) becomes 

(2 - 5 , 2 + 2) = (-3,4) 

When point (-3,4) is reflected in the x axis, its y coordinate changes sign and point (-3 ,4) becomes 

(-3,-4)