Answer:
The answer is (c)
Step-by-step explanation:
* Lets study the problem
∵ The basic function is y = sec(x)
∵ y = -7 sec(x)
∴ It is a vertical stretch or compression because y is multiplied by -7
* Lets revise the vertical stretched and compression
- If the function is f(x), and a new function is g(x) = a f(x)
- Then there is a vertical stretch or vertical compression
of the function f(x)
# If a > 1, then the graph will be stretched.
# If 0 < a < 1, then the graph will be compressed.
# If a < 0, then there will be combination of a vertical stretch
or compression with a vertical reflection.
∵ a = -7 ⇒ a < 0 and I-7I = 7 > 1
∴ There is a combination between vertical stretching and
vertical reflection
* That means there is a reflection across the x-axis and
vertical stretch by scale factor = 7
