Question

Point W (-4,7) was translated as follows:W(-4,7) W (-2,4). A student wrote the algebraic rule to describe the translation as (x,y)(x-3,y+2) evaluate the student's answer

Answer 1

The student's answer is wrong. This is because when the translation was done from (-4,7) to (-2,4), a value of 2 was added to x and 3 was subtracted from 7. Therefore, the translation should have been: (x,y)(x+2,y-3).

Answer 2

Answer with explanation:

It is given that, point W (-4, 7) is translated to W'(-2,4).

The Student Wrote this translation rule as:

(x,y)→(x-3, y+2)

So,if we apply the translation rule in W ,then

W(-4,7)→W'(-4 -3, 7 +2)=W'(-7, 9)

We are not getting the original coordinates of point after applying this translation rule.

So,the translation rule that student wrote is incorrect.

So,the translation rule should be ,

(x,y)→(x+2,y-3)

that is , W(-4,7)→W'(-4+2,7-3)=W'(-2,4)