we are given a function
![f(x)=-6x](https://tex.z-dn.net/?f=f%28x%29%3D-6x)
First translation:
The graph of function is vertically stretched by a factor of 7
Whenever we vertically stretch any function by 'a' units
so, we can write it as
![g(x)=a\times f(x)](https://tex.z-dn.net/?f=g%28x%29%3Da%5Ctimes%20f%28x%29)
Here, it is vertically stretch by 7
so, we get
![g(x)=7\times -6x](https://tex.z-dn.net/?f=g%28x%29%3D7%5Ctimes%20-6x)
![g(x)=-42x](https://tex.z-dn.net/?f=g%28x%29%3D-42x)
Second translation:
Whenever we reflect any function about x-axis
we multiply y-value by -1
so, we can write it as
![g(x)=-f(x)](https://tex.z-dn.net/?f=g%28x%29%3D-f%28x%29)
Here , it is reflected in the x-axis
so, we can multiply by -1 to y-value
we get
![g(x)=-1\times -42x](https://tex.z-dn.net/?f=g%28x%29%3D-1%5Ctimes%20-42x)
.............Answer
Answer:
20
Step-by-step explanation: