Question

1) 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.

Answer 1

Answer :  A) $(x,y)\to (x+3,y-6)$

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 :-

$(x,y)\to (x+h,y)$

The translation rule to map a point (x,y) k units to the down is given by :-

$(x,y)\to (x,y-k)$

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:-

$(x,y)\to (x+3,y-6)$

Thus , A) $(x,y)\to (x+3,y-6)$

Now, the coordinates of the duck’s final position are :-

$(1,3)\to (1+3,3-6)=(4,-3)$

Hence, the coordinates of the duck’s final position = (4,-3)

B)  the coordinates of the duck’s final position = (4,-3)