Given the functions f (x) = x2 + 6x - 1, g (x) = - x2 + 2, and h (x) = 2x2 - 4x + 3, rank them from least to greatest based on their axis of symmetry.

Axis of symmetry = x = - b/2a

where y = ax² + bx + c

f (x) = x² + 6x - 1 ⇒ a = 1; b = 6; c = - 1

x = - (6) / 2 (1) = - 6/2 = - 3

g (x) = - x² + 2 ⇒ a = - 1; b = 0; c = 2

x = - 0/2 (-1) = 0/-2 = 0

h (x) = 2x² - 4x + 3 ⇒ a = 2; b = - 4; c = 3

x = - (-4) / 2 (2) = 4/4 = 1

least : f (x) = x² + 6x - 1; axis of symmetry is - 3

middle : g (x) = - x² + 2; axis of symmetry is 0

greatest : h (x) = 2x² - 4x + 3; axis of symmetry is 1