To determine the equation of the translated function, we need to consider how translating a function works. In this case, translating a function ‘up’ means that we are adding a certain value to the entire function.
The original function is given by:
f(x) = 15x
If we translate this function up by 4 units, we add 4 to the original function:
f(x) = 15x + 4
Thus, the equation that represents the translated function is:
f(x) = 15x + 4
This new equation shows that for every value of x, the output of the function is now 4 units higher than it was before the translation.