Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
g(x)
f(x)
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Answer:
k = 4
Step-by-step explanation:
First, find the equations of each function.
f(x) = x/3 - 3
g(x) = x/3 + 1
Then plug these values for g(x) = f(x) + k.
x/3 + 1 = x/3 - 3 + k subtract x/3 on both sides
1 = -3 + k add -3 on both sides
k = 4 we're done!
and this makes sense because g(x) is just a translation of f(x) 4 units up.