Question

Which of the following describes how to translate the graph y= Ixl to obtain the graph of y= |x + 1| + 1?

shift 1 unit left and 1 unit down
shift 1 unit left and 1 unit up
shift 1 unit right and 1 unit down
shift 1 unit right and 1 unit up

Answer 1

shift 1 unit left and 1 unit up

Answer 2

shift 1 unit left and 1 unit up

Explanation:

y= Ixl (original graph)

y = | x+1 | = | x - (-1) | (shifted -1 units in the x direction i.e 1 unit left)

y = | x+1 + 1 (shifted 1 unit in the y direction, i.e 1 unit up

In total: 1 unit left and 1 unit up