Answer: The new co-ordinates of A ( 2 ,-6)
Step-by-step explanation:
Type of transformation change to co-ordinate point
Vertical translation up 'd' units (x,y)→(x , y+d)
Vertical translation down 'd' units (x,y)→(x , y-d)
Horizontal translation right 'c' units (x,y)→(x+c , y)
Horizontal translation left 'c' units (x,y)→(x-c , y)
Reflection over x-axis (x,y) →(x , -y)
Reflection over y-axis (x,y) →(-x , y)
Given the original vertex A ( -2 ,3)
a) First reflection over x-axis ( -2 ,3) →(-2 , -3)
b) Vertical translation down '3' units so it changes (-2 , -3)→(-2 , -3-3)
(-2,-3)→(-2 ,-6)
and
c) The Horizontal translation right '4' units
now it changes ( -2 ,-6) → (-2+4,-6)→(2 ,-6)
Final answer:-
The new co-ordinates of A ( 2 ,-6)
