Which function represents a vertical compression of by a factor of , and then reflect across the y-axis?
Options
A
B
C
D
Answer & Analysis
Answer
C
Analysis
To apply the given transformations to , we need to break down the required steps:
Vertical Compression by a factor of
: This transformation reduces the vertical scale of the graph by a
factor of . To apply this, we multiply the function by
. So, becomes .
Reflection across the y-axis: To reflect
the graph across the y-axis, we negate the argument of the logarithm, which
changes
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