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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, 1 and 2, 6. Graph of line g of x going through ordered pairs 0, negative 1 and 2, 4. The value of k is ___.

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meerkat18

The problem is asking to find the value of K according to the graph that has been given and also base on the the function. In my further calculation,  I came up with a solution that leads to the answer that the value of K is -2. I hope you are satisfied with my answer and feel free to ask for more

carlosego

The cut point with the y axis for both graphs occurs when x = 0
 We have then:
 For f (x):
 The cut point with the y axis is:
 \(f (0) = 1\)
 For g (x):
 The cut point with the y axis is:
 \(g (0) = -1\)
 Therefore, the value of k is given by the vertical displacement of the graph k units.
 We have then:
 \(g (0) = f (0) + k\)
 From here, let's clear k:
 \(k = g (0) - f (0) k = - 1- 1 k = -2\)
 Answer:
 The value of k is -2

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