Question

consider the translation (x,y)->(x-3,y+6) the preimage of (-7,-4) is

Answer 1

what have you tried?

Answer 2

What is it asking?

Answer 3

let \[f(x,y)=(x-3,y+6)\]

for what values of \(x,y\) does \(f(x,y)=(-7,-4)\)

Answer 4

I thought it was -7-3 and -4+6

Answer 5

no...that would be the image of (-7,-4)

not the preimage

Answer 6

so how do i figure the preimage

Answer 7

solve x-3=-7 and y+6=-4

Answer 8

x=-4 and y=-10

Answer 9

put it as an ordered pair

(-4,-10)

Answer 10

so that is the answer

Answer 11

yes