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)

step-by-step explanation: 4 cause 2+2=4

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!