Question

Which describes the difference between the graph of f(x) = 2x3 - 8x + 3 and g(x) = x3 - 4x?

A) The graph of g(x) is obtained by shifting f(x) up 3 units and stretching vertically by a factor of 2.
B) The graph of f(x) is obtained by shifting g(x) up 3 units and stretching vertically by a factor of 2.
C) The graph of g(x) is obtained by shifting f(x) right 3 units and compressing vertically by a factor of 2.
D) The graph of f(x) is obtained by shifting g(x) right 3 units and compressing vertically by a factor of 2.

Answer 1

B) The graph of f(x) is obtained by shifting g(x) up 3 units and stretching vertically by a factor of 2.

Answer 2

The difference between the graph of f(x)=2x^3-8x+3 and g(x)=x^3-4x will be described as follows:
The graph of f(x)=2x^3-8x+3 is the first one
The graph of g(x)=x^3-4x is the second one
From the two graphs we see that:

B) The graph of f(x) is obtained by shifting g(x) up 3 units and stretching vertically by a factor of 2.