If the graph of y = |x| is translated so that the point (1, 1) is moved to (1, 4), what is the equation of the new graph?

we know that

the point (1,1) is moved to (4,1)

so

the rule of the translation is

(x,y)(x+3,y)

that means

the translation is 3 units to the right

therefore

the answer is

the equation of the new graph is

y=(x-3)