Question

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

Group of answer choices
f(x), g(x), h(x)
h(x), g(x), f(x)
g(x), h(x), f(x)
h(x), f(x), g(x)

Answer 1

f(x), g(x), h(x)

Explanation:

f(x) = x² + 6x - 1 = (x+3)² - 10 (-3 , 10) y=-3

g(x) = -x² + 2 = -(x-0)² + 2 (0 , 2) y=0

h(x) = 2x² - 4x + 3 = 2 (x-1)² + 1 (1 , 1) y=1