y = -x^2 + 2
Domain: all real numbers
Range: all real numbers greater than or equal to 2
Vertex: (0, 2)
Axis of symmetry: x = 0
y-intercepts: (0, 2)
y = x^2 - 6x + 3
Domain: all real numbers
Range: all real numbers greater than or equal to 3
Vertex: (3, 0)
Axis of symmetry: x = 3
y-intercepts: (0, 3)
y = -2x^2 - 8x - 5
Domain: all real numbers
Range: all real numbers less than or equal to -5
Vertex: None, this is an upward facing parabola
Axis of symmetry: None, this is an upward facing parabola
y-intercepts: (0, -5)
f(x) = -x^2 + 1
Domain: all real numbers
Range: all real numbers greater than or equal to 1
Vertex: (0, 1)
Axis of symmetry: x = 0
y-intercepts: (0, 1)
f(x) = -2x^2 + 8x - 3
Domain: all real numbers
Range: all real numbers greater than or equal to -3
Vertex: (4, 3)
Axis of symmetry: x = 4
y-intercepts: (0, -3)
f(x) = 2x^2 + 8x + 1
Domain: all real numbers
Range: all real numbers greater than or equal to 1
Vertex: (None, None, this is an upward facing parabola)
Axis of symmetry: None, this is an upward facing parabola
y-intercepts: (0, 1)