The formula f(x + 1) = 2/3(f(x)) defines a geometric sequence where f(1) = 18. which explicit formula can be used to model the same sequence?
a. f(x) = (18)(2/3)(x – 1)
b. f(x)=18(x-1)^2/3
c. f(x)=18(2/3)^x-1
d. f(x) =2/3 (18)^x – 1

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

ωєℓℓ ωιтн тнαт ιиfσ

тнє вαѕє ιѕ 30

αи∂ тнє нєιgнтн ιѕ 30

нσρє ι ¢συℓ∂ нєℓρ