Question

Given f(x) and g(x) = f(x + k), use the graph to determine the value of k. (1 point)
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Answer 1

k = 4

The graph of f(x) is y = x, ignoring the equation. Through translation we can solve this problem. Notice that the graph has shifted 4 units up or left.

Translations:

`f(x+ h)` = h units left

`f(x- h)` = h units right

Hence the equation will be
`\sf g(x) = f(x +4)`. Here value of k is 4.