The curve
$$y = ext{log}_4 x$$
is transformed by a stretch, scale factor 2, parallel to the y-axis - AQA - A-Level Maths Pure - Question 3 - 2022 - Paper 1
Question 3
The curve
$$y = ext{log}_4 x$$
is transformed by a stretch, scale factor 2, parallel to the y-axis.
State the equation of the curve after it has been transformed... show full transcript
Worked Solution & Example Answer:The curve
$$y = ext{log}_4 x$$
is transformed by a stretch, scale factor 2, parallel to the y-axis - AQA - A-Level Maths Pure - Question 3 - 2022 - Paper 1
Step 1
State the equation of the curve after it has been transformed.
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Answer
To transform the curve y=extlog4x by a stretch with a scale factor of 2, we need to multiply the logarithmic expression by 2. This means the new equation becomes:
y=2extlog4x
Thus, the equation of the transformed curve is y=2extlog4x.
