Given the two functions, which statement is true? (function is in picture)

A) g(x) is stretched vertically by a factor of 2 and shifted to the right 4 units compared to f(x).

B) g(x) is shrunk vertically by a factor of ½ and shifted to the right 4 units compared to f(x).

C) g(x) is stretched vertically by a factor of 2 and shifted to the left 4 units compared to f(x).

D) g(x) is shrunk vertically by a factor of ½ and shifted to the left 4 units compared to f(x).

Option D

Step-by-step explanation:

f(x) =

Transformed form of the function 'f' is 'g'.

g(x) =

Property of vertical stretch or compression of a function,

k(x) = x

Transformed function → m(x) = kx

Here, k = scale factor

1). If k > 1, function is vertically stretched.

2). If 0 < k < 1, function is vertically compressed.

From the given functions, k =

Since, k is between 0 and , function f(x) is vertically compressed by a scale factor .

g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.

g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.

g(x) =

Therefore, function f(x) has been shifted by 4 units left to form image function g(x).

Option D is the answer.

the first one, all those points on the line just make a strait line.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: