Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).

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

Step-by-step explanation:

to find axis of symmetry of f(x), you limply look at h, since it is the x value of the vertex and is the axis of symmetry since vertex form has an equation:

f(x)=a(x-h)^(2)+k, k is not -8, but 8, thus, the axis of symmetry is

x=8

to find axis of symmetry of g(x), you use the formula -b/2a

in this equation, b is 12, a is 3, thus: axis of symmetry is

x=12/(2*3)

x=12/6

x=2

to find the axis of symmetry of h(x), you simply look at what x value is the vertex on the graph, which is 3, so axis of symmetry is

x=3

ranking the functions from smallest to largest axis of symmetry, we go:

x=2, x=3, x=8      specifically;

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

i got 10.28 but that rounds up to 10.3

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph