Question

Which of the following describes how to translate the graph of y = |x| to obtain the graph of y = |x + 1| - 2?. shift right 1 and down 2. shift left 1 and down 2. shift right 1 and up 2

Answer 1

2. shift left 1 and down

Explanation:

any function with the following form is a transformation from f(x) = |x|

g(x) = |x– a| + b

were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.

we have a=-1 NEGATIVE and b=-2 NEGATIVE

then the answer is

2. shift left 1 and down

Answer 2

The horizontal shifting of the graph is inversed. That is if the operation is plus, the graph moves to the left and to the right if otherwise. Now for the translation in y axis, a minus operation means shifted down. Therefore, the answer to this question is the second choice, "shift left 1 and down 2".