the image point of (-2,-3) after a translation right 2 units and 4 up units is (0,1) .
Step-by-step explanation:
Here we have , to find the image point of (-2,-3) after a translation right 2 units and 4 up units . Let's find out:
Initially we have the point as (-2,-3) , Following transformations are done :
a translation right 2 units :
The point is (-2,-3) , let [tex](x,y)=(-2,-3)[/tex] . Translation is 2 units right , means there is change in x coordinate by +2 , i.e.
⇒ [tex](x,y)=(-2,-3)[/tex]
⇒ [tex](x+2,y)=(-2+2,-3)[/tex]
⇒ [tex](x+2,y)=(0,-3)[/tex]
a translation 4 up units:
The point is (0,-3) , let [tex](x,y)=(0,-3)[/tex] . Translation is 4 units up , means there is change in y coordinate by +4 , i.e.
⇒ [tex](x,y)=(0,-3)[/tex]
⇒ [tex](x,y+4)=(0,-3+4)[/tex]
⇒ [tex](x,y+4)=(0,1)[/tex]
Therefore , the image point of (-2,-3) after a translation right 2 units and 4 up units is (0,1) .
