Answer:
y= -x^2
vertex: (0, 0)
a= -1
domain: (-∞, ∞)
range: (-∞, 0]
axis of symmetry: y-axis (x = 0)
increasing on: (-∞, 0)
decreasing on: (0, ∞)
y= (x-2)^2-3
vertex: (2, -3)
a = 1
vertical shift: shift of 3 units downwards from the origin
horizontal shift: 2 units to the right
width: 1
reflected? nope
y= (x-1)^2-2
vertex: (1, -2)
a= 1
domain: all real numbers
range: y ≥ -2
axis of symmetry: x = 1
increasing on: (-∞, 1]
decreasing on: [1, ∞)
y = (x+1)^2+2
vertex: (-1, 2)
a = 0
vertical shift: 2 units upwards from the origin
horizontal shift: 1 unit to the left
width: infinite
reflected? no