Answer:
C. k = 5.
Step-by-step explanation:
The graph is moved k ( = 5) units upwards.
k = 5 is the answer.
Suppose g is a function and a > 0. Define functions h and f by
h(x) = g(x) + a and f(x) = g(x) − a.
Then,
The graph of h is obtained by shifting the graph of g up 'a' units
The graph of f is obtained by shifting the graph of g down 'a' units.
We are given g(x) = f(x) +k and have been told that g(x) is obtained when we shift f(x) by 5 units.
Using the definition of shifting up in the above section, we can say that g(x)= f(x)+5, and g(x) = f(x) + k and by comparing we can say that k = 5.
Hence the value of k = 5.
Learn more about shifting graphs here
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