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The graphs of functions f(x) and g(x) = f(x) + k are shown below:

graph of line f of x going through ordered pairs 0, negative 2 and 2, 2. Graph of line g of x going through ordered pairs 0, 2 and 1, 4.

What is the value of k?

Respuesta :

Answer: 4

Step-by-step explanation:

Given that [tex]g(x)=f(x)+k[/tex]

It is given that [tex]f(x)[/tex] passes through [tex](0,-2)[/tex].

So,[tex]f(0)=-2[/tex]

It is given that [tex]g(x)[/tex] passes through [tex](0,2)[/tex]

So,[tex]g(0)=2[/tex]

Since [tex]g(x)=f(x)+k[/tex]

[tex]g(0)=f(0)+k[/tex]

[tex]k=g(0)-f(0)[/tex]

[tex]k=2-(-2)=4[/tex]

So,[tex]k=4[/tex]

Answer:

Your answer would be D

Step-by-step explanation:

k=4

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