Question

I have three questions that apply to the same figure...

A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)

a. reflection across the line x=-4
b. translation (x,y)--> (x-6, y+8)
c. reflection across the line y=x

Answer 1

You can do this either graphically or algebraically. I'm going to do it algebraically, but maybe someone else can draw it out for you?

Answer 2

Algebraically will be best anyway I'd think.

Answer 3

No actually, that made a lot of sense.

Answer 4

Awesome :)

Okay next part, literally just plug in your x and y values to the translation rule they gave you.
A (3-6, 0+8) -> A (-3, 8)
B (1-6, -2+8) -> (-5, 2)
C (3-6, -5+8) -> (-3, 3)
D (7-6, -1+8) -> (1, 7)

Answer 5

I ended up getting that one right then, yay!

Answer 6

Very cool! Ok next one I always tend to overthink, but don't. y=x and x=y. Literally just flip flop the x and y coordinates.

A' (0,3)
B' (-2,1)
C' (-5,3)
D' (-1, 7)

Answer 7

Wait are you serious?

Answer 8

thanks man!
Awesome
Two of the three I was just checking my answers on
but thanks anyway

Answer 9

Yup. Double check any graph you like. It's so much simpler than you would think. And no problem!!