Function Translation Shifts

00:00 3 marks

Given a function \(f(x)\), describe how the graph of \(f(x) + 3\) differs from the graph of \(f(x)\) and explain the transformation represented by \(f(x + 2)\).

Hint Hint

Hint

Adding a constant outside \(f(x)\) causes a vertical shift, and adding a constant inside the argument \(f(x + …)\) causes a horizontal shift.

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Answer Answer

Complete Answer

The graph of \(f(x) + 3\) is shifted vertically upwards by 3 units compared to \(f(x)\). The graph of \(f(x + 2)\) is shifted horizontally to the left by 2 units compared to \(f(x)\).

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Answer Explanation Answer Explanation

Common Errors Common Errors

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