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This is how it is done. Let me know if you have questions...
Answer:
Option c. Reflection across the x-axis and vertical stretch by a factor of 7
Step-by-step explanation:
If the graph of the function represents the transformations made to the graph of
then, by definition:
If then the graph is compressed vertically by a factor a.
If then the graph is stretched vertically by a factor a.
If then the graph is reflected on the x axis.
In this problem we have the function and our paretn function is
therefore it is true that
.
Therefore the graph of is stretched vertically by a factor of 7 and is reflected on the x-axis
Finally the answer is Option c