Multiplying f(x) by 1.5 results in a vertical stretch, elongating the graph. Each y-coordinate is multiplied by 1.5, indicating an upward expansion without affecting the horizontal positions. Option C is correct.
Multiplying a function f(x) by 1.5 introduces a vertical stretch. This means that every y-coordinate in the original function is multiplied by 1.5, causing an upward expansion of the graph. The horizontal positions of points on the graph remain unchanged. In contrast, if the factor were less than 1, it would represent a vertical compression.
This transformation is a fundamental concept in understanding how functions behave under scaling operations. In this case, the statement correctly interprets the graphical impact, emphasizing the vertical stretch, which alters the amplitude of the function without affecting its horizontal placement.
Hence, option C is the answer.
The complete question is:
Which statement correctly describes the relationship between the graphs of f(x) and 1.5f(x)？
A. f(x) is a horizontal compression by a factor of 1.5
B. f(x) is a vertical compression by a factor of 1.5
C. f(x) is a vertical stretch by a factor of 1.5
D. f(x) is a horizontal stretch by a factor of 1.5