Question

Which function is represented by this graph?

-10 -8 -6 -4 -2
-10
-2
-6
-8
-10
2
4
6
8
10

Answer 1

The standard absolute value graph has been shifted 7 units to the right and 3 units down to get this graph.

That means we have answer B: f(x) = | x - 7 | - 3

Remember that the left-right shifts are opposite from what they would appear to be in the equation.

| x - 7 | shifts it right 7 units.

| x + 7 | shifts it left 7 units.