Multiple Transformations of an Absolute Value Function

00:00 3 marks

Consider the function \(f(x)=|x|\). It is transformed to \(g(x)\) by shifting its graph 3 units to the right and then stretching it vertically by a factor of 2. Write the equation for \(g(x)\) and determine the coordinates of its vertex.

Hint Hint

Hint

Consider the order in which transformations affect the coordinates of key points on the graph.

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Answer Answer

Complete Answer

g(x) = 2|x – 3|, with vertex at (3, 0)

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Multiple Transformations of an Absolute Value Function

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Multiple Transformations of an Absolute Value Function

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