Question

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.

a. f(x), g(x), h(x)
b. h(x), g(x), f(x)
c. g(x), h(x), f(x)
d. h(x), f(x), g(x)

Answer 1

You can find an axis of symmmetry of quadratic function by using this formula:


`x=-(b)/(2a) \\ \\ \hbox{Where function is} \ \ f(x)=ax^2+bx+c \ \ \hbox{assuming} \ \ a\\eq 0`

An axis of f(x):


`x=-(6)/(2 \cdot 1)=-(6)/(2)=-3`

Of g(x):


`x=-(0)/(2 \cdot (-1))=(0)/(2)=0`

Of h(x):


`x=-(-4)/(2 \cdot 2)=(4)/(4)=1`

At least to greatest you've got -3, 0, 1 so f(x), g(x), h(x). Answer a