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Makovka662 [10]
3 years ago
11

Which function is represented by the graph?

Mathematics
1 answer:
solong [7]3 years ago
3 0

Answer:

f(x) = |x + 1| – 3

Step-by-step explanation:

The given graph is a transformed absolute value function.

The parent function is

g(x) =  |x|

The graph is obtained by shifting, g(x) from the origin (0,0) to (-1,-3).

The transformed function is of the form:

f(x) =  |x - h|  + k

Where (h,k) is the vertex.

We substitute h=-1 and k=-3 to get:

f(x) =  |x -  - 1|  +  - 3

When we simplify we get:

f(x) =  |x  + 1|  - 3

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