Question

Jessica was sitting in row 9, seat 3 at a soccer game when she discovered her ticket was for row 1, seat 1. Write a rule to describe the translation needed to put her in the proper seat.

A. T<-8,2> (Jessica)

B. T<8,2> (Jessica)

C. T<-8,-2> (Jessica)

D. T<8,-2> (Jessica)

Answer 1

rule is to shift 8 units left & , shift 2 units down , Correct option C) T<-8,-2> (Jessica) ,

Explanation:

Here we have , Jessica was sitting in row 9, seat 3 at a soccer game when she discovered her ticket was for row 1, seat 1. We need to Write a rule to describe the translation needed to put her in the proper seat. Let's do this:

Suppose the above problem in coordinate system where we have a point
`P(9,3)` , And we need to write rule for translation of this point to
`Q(1,1)` .

Let ,
`(x,y)=(9,3)` , Now shift 8 units left i.e.

⇒
`(x,y)=(9,3)`

⇒
`(x-8,y)=(9-8,3)`

⇒
`(x-8,y)=(1,3)`

Now , shift 2 units down i.e.

⇒
`(x-8,y)=(1,3)`

⇒
`(x-8,y-2)=(1,3-2)`

⇒
`(x-8,y-2)=(1,1)`

Therefore , rule is to shift 8 units left & , shift 2 units down , Correct option C) T<-8,-2> (Jessica) ,