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Explanation:</h2>
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Let's rewrite the question for better understand:
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k. Two lines labeled f(x) and g(x). Line f(x) passes through points and (2, 2). Line g(x) passes through points (-4, 0) and (-1,3).
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From the question, we know that the graph of g(x) has the same form of f(x) but it's been shifted k units either to the left or to the right, so:
- If k > 0 the graph has been shifted k units to the left
- If k < 0 the graph has been shifted k units to the right
From g(x) we know:
f(x) must have the same slope as g(x), so:
By comparing f(x) and g(x), we know that:
<h2>Learn more:</h2>
Proportional relationships: brainly.com/question/674693
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