Here's a list of the changes and their effect:

So, the function is shifted
units to the right, then it is compressed by a factor 8 horizontally, and a factor 0.35 vertically.
Answer:
3x-15
Step-by-step explanation:
(x-5)(8-5)
(x-5)(3)
re-order
(x-5)×3
3(x-5)
Distribute
3(x-5)
3x-15
3.) f(x)=-2(x+1)^2+3
Domain: (- infinity, infinity)
Range:(-infinity,3]
Vertex: (-1,3)
Axis of symmetry: x=-1
Opens downward
4.) f(x)=9(x-2)^2-3
D:(-infinity, infinity)
R: [-3,infinity)
Vertex: (2,-3)
Axis: x=2
Opens upward
6.)
D:(-infinity, infinity)
R:(-infinity,0]
Vertex: (5,0)
Axis: x=5
Opens downward