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

y = |x - 3|
y = |x| - 3
y = |x + 3|
y = |x| + 3

This may be done by plugging in the value of the coordinates of the point (4, 1) in the equation. It may be seen that to get an answer for y of 1, x should be subtracted by 3. We can choice either from first and second choice; however, it is x that is being translated so, -3 should appear inside the absolute value sign.