Question

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

f(x) = 6 cos x ; g(x) = cos x

Answer 1

To obtain the graph of f(x) from g(x), apply a vertical stretch by a factor of 6 and then shift the graph upwards by 0 units.

Step-by-step explanation:

To obtain the graph of the function f(x) from the graph of g(x), we need to apply two transformations: a vertical stretch and a vertical shift.

First, the function f(x) = 6 cos x is obtained by vertically stretching the graph of g(x) = cos x by a factor of 6. This means that every y-coordinate of the graph of g(x) is multiplied by 6.

Second, the graph of f(x) is obtained by shifting the vertically stretched graph of g(x) upwards by 0 units. This means that the entire graph of g(x) is shifted upwards without any change in the x-coordinates.

Answer 2

Based on your question that should described the transformation required to obtain the graph of the function f(x) from the graph of the function g(x) the possible answer to this one is Its a vertical stretch by a factor of 6. I hope you are satisfied with my answer