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The graph of $y = 5^x$ is transformed by a stretch in the $y$-direction, scale factor 5 - AQA - A-Level Maths Pure - Question 2 - 2018 - Paper 1

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The graph of $y = 5^x$ is transformed by a stretch in the $y$-direction, scale factor 5. State the equation of the transformed graph. Circle your answer.

Worked Solution & Example Answer:The graph of $y = 5^x$ is transformed by a stretch in the $y$-direction, scale factor 5 - AQA - A-Level Maths Pure - Question 2 - 2018 - Paper 1

Step 1

State the equation of the transformed graph.

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Answer

To transform the graph of the function y=5xy = 5^x by a stretch in the yy-direction with a scale factor of 5, we multiply the output of the function by 5. Thus, the equation of the transformed graph becomes:

y=5imes5xy = 5 imes 5^x

This representation indicates that every yy value is stretched by a factor of 5.

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