Question

How can you sketch the graph y = |x - 2| ?

Answer 1

Translate the graph of y = |x| two units left.

Answer 2

yes

Answer 3

wait, no...
move it right, not left

Answer 4

on the x axis, subtraction is to the right side and addition is to the left. its "backwards" from what you would expect

Answer 5

cuz its absolute value

Answer 6

no. thats just how translations work
example
y=x^2 and y=(x-2)^2
the second one is moved right 2 spaces

Answer 7

Translations work that way because the equation is solved for y in terms of x. It's as if y is treating x as if it were 2 units smaller, so x needs to be bigger to have the same effect.

Answer 8

thank you guys

Answer 9

i never thought of it that way, thanks for the explanation @CliffSedge

Answer 10

That's the only way it makes sense to me. :">