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 ___.
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
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: [tex]f (0) = 1
[/tex] For g (x): The cut point with the y axis is: [tex]g (0) = -1
[/tex] Therefore, the value of k is given by the vertical displacement of the graph k units. We have then: [tex]g (0) = f (0) + k
[/tex] From here, let's clear k: [tex]k = g (0) - f (0)
k = - 1- 1
k = -2[/tex] Answer: The value of k is -2
