Respuesta :

Answer:

[tex]k = 7[/tex]

Step-by-step explanation:

Given

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

Required

The value of k

From the attached graph, line f(x) is shifted up 7 times to match g(x).

This implies that:

[tex]g(x) = f(x) + 7[/tex]

Compare: [tex]g(x) = f(x) + k[/tex] and [tex]g(x) = f(x) + 7[/tex]

[tex]k = 7[/tex]