describe the translation from the parent graph

Question

the basic parent is y=x
for an absolute value it is y=|x|
describe the translation from the parent graph

to y=|x-1|

Answer 1

The parent graph's vertex is located at (0,0)

 

The new function:  y=|x-1| has a x shift.

 

First we need to figure out what the shift is:

we take x-1 and set it equal to zero and solve for x:

x-1=0

x=1

 

Therefore we have a shift of +1 to the right.

 

Our new vertex is: 

(1,0)

 

So the translation from the parent graph is just a shift of one unit to the right, applied to the entire graph.

Answer 2

Right shift by 1 unit.