The axis of symmetry (a.o.s.) can be found in the following ways:
If the vertex is (h, k), then the a.o.s equation is x = h.
If the standard form of [tex]y=ax^2+bx+c[/tex], then the a.o.s. equation is [tex]x= \frac{b}{-2a} [/tex].
If the x-intercepts [tex] x_{1} [/tex] and [tex] x_{2} [/tex] are given, then the a.o.s equation is [tex]x= \frac{ x_{1}+ x_{2} }{2} [/tex]
Therefore,
f(x) has a.o.s of x = 4
g(x) has a.o.s of [tex]x= \frac{-10}{-2(5)} [/tex]⇒[tex]x= 1 [/tex]
h(x) has a.o.s. of [tex]x=0[/tex] ↔ there are multiple ways to find this
RANKING FUNCTIONS from smallest a.o.s value to greatest: h(x), g(x), f(x)
