kari43 kari43
  • 06-02-2019
  • Mathematics
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The graphs of functions f(x) and g(x) = f(x) + k are shown below

The graphs of functions fx and gx fx k are shown below class=

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calculista
calculista calculista
  • 15-02-2019

Answer:

[tex]k=-2[/tex]

Step-by-step explanation:

we know that

Observing the graph

The point [tex](0,1)[/tex] in f(x) becomes to the point [tex](0,-1)[/tex] in g(x)

so

The rule of the translation f(x)-----> g(x) is equal to

[tex](x,y)-----> (x,y-2)[/tex]

That means----> the translation is [tex]2[/tex] units down

therefore

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

The value of [tex]k=-2[/tex]

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