What is usually expressed as a fraction, this is way of showing the relative size of two numbers, as when 24/30 is written as 4/5, meaning 24 has as many groups of 4 as 30 has groups of 5.

A ratio

Step-by-step explanation:

What we have here is a ratio. In a ratio we can explain that 24 has 6 groups of 4 and 30 has 6 groups of 5.

For instance,

We have a growing ratio of   in this sequence:

For this question:

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.