The function f(x) = 2x and g(x) = f(x) + k if k = 2 , what can be concluded about the graph g(x)?

Translations are transformations that change the position of the graph of a function. The general shape of the graph of a function is moved up, down, to the right or to the left. The translations are considered rigid transformations.

 Suppose that k> 0

 To graph y = f (x) + k, move the graph of k units up.

 To graph y = f (x) -k, move the graph of k units down.

 We have then:

 f (x) = 2 ^ x

 g (x) = f (x) + k

 if k = 2

 then,

 the graph of g (x) is shifted vertically 2 units up

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%

b). 4320 have a nice day