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.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%