Question

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?

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

Answer 1

The new equation would either be

y = |x + 3| or y = |x| + 3

This is because they both translate (1, 1) into (1, 4)

Answer 2

your answer will be y = |x + 3|