Given:
Given that the graph of two functions f(x) and g(x).
The function f(x) is the parent function and the function g(x) is the transformed function which is in the format of [tex]g(x)=f(x)+k[/tex]
We need to determine the value of k.
Value of k:
From the graph, it is obvious that the function g(x) is shifted k units upward.
The value of k can be determined by subtracting the change in units of y - axis.
Thus, we have;
[tex]k=3-(-3)[/tex]
[tex]=3+3[/tex]
[tex]k=6[/tex]
Thus, the function g(x) is shifted 6 units upward.
Hence, the value of k is 6.
Therefore, Option b is the correct answer.
