Answer:
Step-by-step explanation:
The parent function in this case is [tex]y = x^{2}[/tex]. In this case, the function has shifted to the left 3 units and down 5 units.
If we want to shift it horizontally, we must add it within the function. To move to the right, we must subtract within the function, and to move to the left, we must add within the function
Thus we get so far [tex]y =(x+3)^{2}[/tex]
To shift vertically, we must add to the whole function to move up and to subtract from the whole function to move down
Thus we get the answer [tex]y = (x+3)^2 -5[/tex]
Hope that helps!
