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  • 04-07-2022
  • Mathematics
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Which absolute value function defines this graph?

Which absolute value function defines this graph class=

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Medunno13
Medunno13 Medunno13
  • 09-07-2022

The vertex of the graph is at (-2, 3).

This means the equation is of the form [tex]f(x)=a|x+2|+3[/tex].

Substituting in the coordinates of one of the other points on the graph that is not the vertex, such as (-1, -1),

[tex]-1=a|-1+2|+3\\\\-1=a+3\\\\a=-4[/tex]

So, the equation is [tex]\boxed{f(x)=-4|x+2|+3}[/tex]

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