The function f(x) = 6x. The graph of g(x) is f(x)vertically stretched by a factor of 7 and reflected in the xaxis. What is the function rule for g(x)? A. g(x)
Mathematics
RueRue
Question
The function f(x) = 6x. The graph of g(x) is f(x)vertically stretched by a factor of 7 and reflected in the xaxis. What is the function rule for g(x)?
A. g(x) = 6/7x
B. g(x) = 42x
C. g(x) = 42x
D. g(x) = 6/7x
A. g(x) = 6/7x
B. g(x) = 42x
C. g(x) = 42x
D. g(x) = 6/7x
2 Answer

1. User Answers joandangel1
B. g(x) = 42
A flip over the xaxis means you flip the sign. A stretch means you multiply the factor of stretch to the coefficient. 
2. User Answers virtuematane
Answer:
option: B( g(x)=42 x)
Stepbystep explanation:
We are given a function f(x)= 6 x
Now the graph of g(x) is: " f(x) vertically stretched by a factor of 7 and reflected in the xaxis" .
( we know that for any function f(x) the graph g(x) which is a vertical stretch by a factor 'a' is given by:
h(x)=a f(x)
now as the function is then reflected in the xaxis this means that the resultant function is given by:
g(x)= h(x) )
So here we are given a vertical stretch by a factor '7'
⇒ h(x)=7 f(x)=7×(6)x= 42 x
also now this function is reflected in the xaxis
Now the resultant function g(x) is given by:
g(x)= h(x)
⇒ g(x)=42 x
Hence, option B is correct.