Respuesta :

Answer:

The graph of [tex]f(x)=-|x-2|[/tex] is attached below.

Step-by-step explanation:

As the given function

[tex]f(x)=-|x-2|[/tex]

Lets put some points to determine the graph.

  • For x = 0

[tex]f(0)=-|0-2|=-2[/tex]

  • For x = 1

[tex]f(1)=-|1-2|=-1[/tex]

  • For x = 2

[tex]f(2)=-|2-2|=0[/tex]

  • For x = 3

[tex]f(3)=-|3-2|=-1[/tex]

  • For x = 4

[tex]f(4)=-|4-2|=-2[/tex]

Therefore, the graph of [tex]f(x)=-|x-2|[/tex] attached below.

Keywords: absolute value

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The graph of the absolute value function can be seen at the end of the answer.

How to graph the absolute value function?

Here we have the absolute value function:

f(x) = -|x - 2|

Notice that the vertex of the absolute value function will be at x = 2, because there is no coefficient we will have two 45° lines, and because there is a negative sign, the arms of the absolute value function will open downwards.

Taking all that in mind, the graph of the function will be the one that you can see below.

If you want to learn more about absolute values, you can read.

https://brainly.com/question/3381225

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