The graph of $y = 5^x$ is transformed by a stretch in the $y$-direction, scale factor 5 - AQA - A-Level Maths Mechanics - Question 2 - 2018 - Paper 1
Question 2
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 Mechanics - Question 2 - 2018 - Paper 1
Step 1
State the equation of the transformed graph.
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Answer
To apply the stretch in the y-direction with a scale factor of 5, we multiply the original function by 5. Thus, the transformed equation can be expressed as:
y=5imes5x
This simplifies to:
y=5x+1
However, the correct format in this context should remain as y=5imes5x.