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
The slope
m = (y2 - y1)/(x2 - x1)
m = ( 38 - -2)/ (-29 - -64)
m = 40/35
simplify
m = 8/7
Hope this helps