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The graph of $f(x) = \frac{3}{x-1} + 2$ is shown, The graph of $f(x)$ was transformed to get the graph of $g(x)$ as shown - HSC - SSCE Mathematics Extension 1 - Question 2 - 2022 - Paper 1

Question 2

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The graph of $f(x) = \frac{3}{x-1} + 2$ is shown, The graph of $f(x)$ was transformed to get the graph of $g(x)$ as shown. What transformation was applied? A. $g... show full transcript

Worked Solution & Example Answer:The graph of $f(x) = \frac{3}{x-1} + 2$ is shown, The graph of $f(x)$ was transformed to get the graph of $g(x)$ as shown - HSC - SSCE Mathematics Extension 1 - Question 2 - 2022 - Paper 1

Step 1

What transformation was applied?

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Answer

The transformation applied is a reflection over the y-axis, which is represented by the equation $g(x) = f(|x|)$ . This alters the given function by taking the absolute value of the x-coordinates of the original graph, effectively reflecting any portions of the graph that are to the left of the y-axis to the right side.

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