Suppose you are determining the growth rate of two species of plants. species a is 12 cm tall and grows 2 cm per month. species b is 10 cm tall and grows 3 cm per month. which system of equations models the height of each species h(m) as a function of months m.
h(m ) = 2 + 12m
h(m ) = 3 + 10m
h(m ) = 2 + 12m
h(m ) = 10 + 3m
h(m ) = 12 + 2m
h(m ) = 3 + 10m
h(m ) = 12 + 2m
h(m ) = 10 + 3m

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.