Which describes the difference between the graphs of f (x) = x4 and g (x) = - 1 3 (x4) ? A) The graph of g (x) is obtained by flipping f (x) over the y-axis and shrinking vertically by a factor of 3. B) The graph of g (x) is obtained by flipping f (x) over the x-axis and shrinking vertically by a factor of 3. C) The graph of g (x) is obtained by flipping f (x) over the y-axis and stretching vertically by a factor of 3. D) The graph of g (x) is obtained by flipping f (x) over the x-axis and stretching vertically by a factor of 3

Question

Slade Leach

Mathematics

11 January, 08:10

Which describes the difference between the graphs of f (x) = x4 and g (x) = - 1 3 (x4) ? A) The graph of g (x) is obtained by flipping f (x) over the y-axis and shrinking vertically by a factor of 3. B) The graph of g (x) is obtained by flipping f (x) over the x-axis and shrinking vertically by a factor of 3. C) The graph of g (x) is obtained by flipping f (x) over the y-axis and stretching vertically by a factor of 3. D) The graph of g (x) is obtained by flipping f (x) over the x-axis and stretching vertically by a factor of 3

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Answers (1)

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Craig Coleman · Answer 1

The correct answer is Choice A.

I assume that you meant to have the fraction 1/3 at the beginning of the equation where there is a missing space.

The negative sign will flip the graph over the y-axis.

The 1/3 will shrink the graph vertically by a factor of 3.