Which describes the difference between the graph of f (x) = 3x2 + 2 and g (x) = 9x2?

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

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

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

Question

Mathematics

Guest

2 July, 23:54

Which describes the difference between the graph of f (x) = 3x2 + 2 and g (x) = 9x2?

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

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

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

+3

Answers (1)

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Hadassah Alexander · Answer 1

First we must graph both of these equations. We can use a graphing calculator to enter each equation, and note the differences between both. After graphing both of these equations, we find that the answer is B, the graph of f (x) is obtained by shifting g (x) up 2 units and compressing vertically by a factor of 3.