Which function is represented by the graph? A. f(x) = −2|x| + 1
B. f(x) = |x| + 1
C. f(x) = -2|x + 1|
D. f(x) = |x + 1|

We are given graph of an absolute function:

The standard form of an absolute function is :

y=a| x−h |+k, where (h,k) is the vertex of the graph.

For the given graph of absolute function, we have vertex at (0,1).

And because it's open down the value of a should be a negative number.

|a| >1, it would vertically stretch by a factor of 2.

Therefore, correct option is first option.

f(x)=-2|x| + 1.

Step-by-step explanation:

A

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can you add an image ?

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