Question

The preimage of C'(-3,-10) use the translation (x,y)(x-8,y+4)

Answer 1

They want to know a point, call it C, where you apply the translation rule to point C to get C'

Answer 2

So you're going from C(x,y) to C'(-3,-10)

Answer 3

using the rule (x,y) --> (x-8, y+4)

Answer 4

yes

Answer 5

Do you see what to do to find C(x,y) ?

Answer 6

Plug in (-3,-10) ?

Answer 7

into what?

Answer 8

(x-8,y+4) ?

Answer 9

that will apply the rule to C' to get C''

but we want to undo that rule to go back to C

Answer 10

you just need to solve these two equations

x-3 = -8
y+4 = -10

the (x,y) pair you get will be the point C

Answer 11

I keep getting -5,-14 but the answer is 5,-14

Answer 12

x-3 = -8

x-3+3 = -8+3

x+0 = -5

x = -5

Answer 13

So it should be (-5,-14)

Answer 14

oh wait

Answer 15

nvm

Answer 16

I wrote down the equation wrong

Answer 17

it should be

x-8 = -3

x-8+8 = -3+8

x+0 = 5

x = 5

Answer 18

okay thank you

Answer 19

you're welcome