Question

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x - 1| - 1?


1 unit left and 1 unit down
1 unit left and 1 unit up
1 unit right and 1 unit down
1 unit right and 1 unit up


@juliorrethatoku

Answer 1

@dumbcow @Jamierox4ev3r @thomaster

Answer 2

@ash2326

Answer 3

@dmezzullo

Answer 4

@ilfy214

Answer 5

If a number, +/- is grouped with x, meaning inside absolute value, parenthesis, square root, etc, it moves the graph left and right. If it's x - a number, it moves the graph right that many units. If it's x + a number, it moves the graph left that many units. When a number, +/- is NOT grouped with x, it moves the graph up and down. positive moves the graph up, negative moves the graph down.

Answer 6

@dirtydan667

Answer 7

im here im reading

Answer 8

Lol, sorry.

Answer 9

your explanation

Answer 10

im having trouble getting what you wrote

Answer 11

oh and thanks for finally helping me

Answer 12

so down @Psymon

Answer 13

Alright. When I say a number +/- grouped with x, I mean things like this:
|x-3|
(x+3)^2
\[\sqrt{x-7}\]
Some sort of grouping symbol. When you have a number that is grouped in with x, that number moves the graph left and right.
If you see x minus a number, like
|x-4|, this means move the graph to theright that many units. if you see x +, like
\[\sqrt{x+5} \], that means moves the graph left that many units.

If you have a number +/- that is NOT grouped with x, meaning it's just there. Like this:
x^2 + 4
(x-5)^2 + 3
The +4 and +3 there are just hanging there, NOT grouped with x. When a number +/- is not grouped with x, this moves the graph up and down. If the number is plus, this moves the graph up. if it's minus, this moves the graph down.

So for your problem, you have a |x-1|, which means grouped with x. and you have an extra - 1, so not grouped with x. So you have one movement left and right and one movement down. So which movements do you have? : )

Answer 14

A ??

Answer 15

Remember, a minus sign that is grouped with x moves it right.

Answer 16

c

Answer 17

|x-5| means right
|x+6| means left
+3 means up
-4 means down.

Answer 18

C, right :3

Answer 19

thanks dood/chick

Answer 20

thanks dood

Answer 21

yep yep