We have been given a parent function and a translated function . We are asked to determine the vertical translation from the parent function to .
Let us recall translation rules.
Horizontal translation:
Vertical translation:
Upon looking at our given function, we can see that the value of 'a' is positive 5 inside parenthesis, so our graph is shifted to left by 5 units.
We can also see that the value of 'a' outside parenthesis is positive 3, therefore, the graph of parent function is shifted upwards by 3 units to get the graph of function .