To translate the function f(x) = 15x upwards by 4 units, you need to adjust the function’s output value. For any function f(x), translating it up by k units involves adding k to the function. In this case, k is 4.
So, the translated function can be obtained by adding 4 to the original function’s output:
f(x) = 15x + 4
This means that for any value of x, the output of the function has increased by 4 units. Therefore, the equation representing the translated function is:
g(x) = 15x + 4
In summary, the translated function g(x) is the result of shifting the original function f(x) = 15x up by 4 units, resulting in:
g(x) = 15x + 4