Which function is represented by the graph?
5
4
3
2
f(x) = -x - 3] + 4
f(x) = -|X + 3] + 4
Of(x) = -x - 41+ 3
O f(x) = -x + 4 + 3
1 2 3 4
5
х
-5 4 -3 -2 -1
2
-3
-4
-5

Respuesta :

The function represented by the graph is [tex]f(x) =-|x-3|+4[/tex]

An absolute value function is represented as:

[tex]y = a|x - h| + k[/tex]

Where:

The vertex is represented by (h,k), and a represents the stretch factor

From the function, we have the following highlights

  1. Vertex: (h,k) = (3,4)
  2. Stretch factor: a=-1

So, the absolute value function becomes

[tex]y =-1|x-3|+4[/tex]

[tex]y =-|x-3|+4[/tex]

Rewrite as a function

[tex]f(x) =-|x-3|+4[/tex]

Hence, the function represented by the graph is [tex]f(x) =-|x-3|+4[/tex]

Read more about absolute value function at:

https://brainly.com/question/3381225

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