Question

Find the coordinates of quadrilateral PQRS with vertices P(1,4) Q(-1,4) R(-2,-4) S(2,-4) under the translation (z,y) ---> (x-5,y+3) PLEASE HELP

Answer 1

(x,y) ---> (x-5,y+3)

means that you take any point (x,y) and shift it 5 units left and 3 units up

Answer 2

so in the case of point P we know that x = 1 and y = 4

x ---> x - 5

so plug in x = 1 to get x-5 = 1-5 = -4

y ---> y+3

plug in y = 4 to get y +3 = 4+3 = 7

in the end, P(1,4) translates to P ' (-4, 7)

Answer 3

Thank you! and one more I am having trouble with @jim_thompson5910

Answer 4

fill in the blank

for the x coordinates in point X and X'

5 + ______ = 3

Answer 5

-2 ? @jim_thompson5910

Answer 6

so x ---> x-2

Answer 7

fill in the blank for the y coordinates of X ---> X'

4 + _____ = 1

Answer 8

-3

Answer 9

y ---> y-3

Answer 10

the rule is (x,y) ----> (x-2, y-3)

Answer 11

is that enough to find Y ' and Z ' ?

Answer 12

Is it b? like I know I have -2 , y-3 but what do i do with those ?

Answer 13

x-2 means you subtract 2 from the x coordinate

Answer 14

so because the x coordinate of point Y is 3, we know that x-2 = 3-2 = 1

Answer 15

so the x coordinate of Y ' is 1

Answer 16

okay thank you!! @jim_thompson5910 and sorry I ask you so much...

Answer 17

no it's good you ask questions

Answer 18

the key is that you ideally learn from them and from there you can do it on your own eventually, but I'm sure you are very smart and can handle it