Answer : A) [tex](x,y)\to (x+3,y-6)[/tex]
B) the coordinates of the duck’s final position = (4,-3)
Step to step explanation:
The translation rule to map a point (x,y) h units to the right is given by :-
[tex](x,y)\to (x+h,y)[/tex]
The translation rule to map a point (x,y) k units to the down is given by :-
[tex](x,y)\to (x,y-k)[/tex]
Given : In the app you are creating, a duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down.
i.e. The translation rule to describe the given translation:-
[tex](x,y)\to (x+3,y-6)[/tex]
Thus , A) [tex](x,y)\to (x+3,y-6)[/tex]
Now, the coordinates of the duck’s final position are :-
[tex](1,3)\to (1+3,3-6)=(4,-3)[/tex]
Hence, the coordinates of the duck’s final position = (4,-3)
B) the coordinates of the duck’s final position = (4,-3)
