Which statement best describes how the graph of g is a transformation of the graph of f?
g(x) = 4f(x)
-The graph of g is a horizontal stretch of the graph of f by a factor of 1/4
-The graph of g is a horizontal stretch of the graph of f by a factor of 4
-The graph of g is a vertical stretch of the graph of f by a factor of 4
-The graph of g is a vertical stretch of the graph of f by a factor of 1/4
The 4 is in front of the f(x) which makes it vertical stretch.
My answer is:
The graph of g is a vertical stretch of the graph of f by a factor of 4
Am I right or wrong sir?
correct
To determine how the graph of g is a transformation of the graph of f, we can examine the given equation g(x) = 4f(x).
In this equation, the coefficient 4 in front of f(x) indicates a vertical stretch. If the coefficient were less than 1, it would represent a vertical compression. However, since it is greater than 1, it represents a vertical stretch.
Therefore, the statement "The graph of g is a vertical stretch of the graph of f by a factor of 4" best describes how the graph of g is a transformation of the graph of f.