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.

A)Write a rule to describe the translation.


B)What are the coordinates of the duck’s final position?

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)