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).

Three functions are given below fx gx and hx Explain how to find the axis of symmetry for each function and rank the functions based on their axis of symmetry f class=

Respuesta :

Answer:

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)