Final answer:
The translation from f(x) to g(x) involves increasing the slope of the linear equation from 1 to 3, while keeping the y-intercept constant at 5.
Step-by-step explanation:
The question is asking about the mathematical translation between the functions f(x) = 1x + 5 and g(x) = 3x + 5.
To translate from f(x) to g(x), the coefficient of x in f(x) has been multiplied by 3.
This change affects the slope of the linear function, making g(x) steeper while the y-intercept remains the same at 5 since both functions have a constant term of +5.
Thus, the change from f(x) to g(x) reflects an increase in slope from 1 to 3, which is the coefficient of the x term.
The translation does not involve any movement along the x-axis or y-axis because the y-intercept has not changed.