Suppose f(x) = x2 and g(x) = (4x)2. which statement best compares the graph of g(x) with the graph of f(x)?

a. the graph of g(x) is horizontally stretched by a factor of 4.

b. the graph of g(x) is shifted 4 units to the right.

c. the graph of g(x) is vertically stretched by a factor of 4.

d. the graph of g(x) is horizontally compressed by a factor of 4.

Option C

Step-by-step explanation:

Given: Functions    and  

Now, if we compare the both equation we get,

 as  

This means that the value of g(x) is 4 times the value of f(x). So the graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.

The graph shown below confirms the conclusion.

Therefore, Option C is correct.

The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2