To understand the transformation represented by the function y = 3x, we need to break it down.
The equation y = 3x is a form of the template equation of a linear function which is y = mx, where 'm' represents the slope of the line or the rate of change.
In our function, y = 3x, '3' is the slope, which signifies that for each unit increase in x, y will increase by 3 units.
So, if we want to describe this transformation in a full sentence, we could say:
"The function y = 3x represents the linear transformation of the input variable x by a scaling factor of 3. This transformation can be described as 'every unit increase in x results in a corresponding 3-fold increase in y'."
In other words, for each one step we move to the right on the x-axis, we move three steps upwards on the y-axis. This demonstrates how the transformation influenced by the function works.