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