We are given the parent function, f(x) = 5x and is vertically compressed by a factor of 1/2, shifted to the right (3 units) and down two units.
Vertical compression makes the function:
f(x) = (1/2) * 5x
shifted 3 units to the right makes the function:
f(x) = (1/2) * 5 (x+3)
shifted 2 units down makes the function:
f(x) = (1/2) *(5 (x+3)) - 2
therefore, this function is the resulting function after performing all three adjustments of the parent function. First, compression, then shift to left/right, then shift up and down.
