Question

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
g(x)
f(x)

Answer 1

k = 4

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.