Let f(x)=3x .

which function represents a transformation of f(x) by a vertical stretch with factor 6?

g(x)=36x

g(x)=16⋅3x

g(x)=316x

g(x)=6⋅3x

Option D  g(x)= 6.3x

Explanation:

It is given that function has a vertical stretch of factor 6 so, we will multiply the factor with value of function.

If compression would have given we will divide the value of function by  given factor

Option A: when we will multiply 6 with 3x it will not give 36x

Option B and C are totally irrelevant

Hence, Option A,B and C are discarded

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:

w'x is 0.

hope it