The graph of the function f(x)=6/x-3 is shown below

Step-by-step explanation:

we know that

The vertical asymptote occur when the denominator of the function f(x) is equal to zero.

we have

so

-----> is the vertical asymptote

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: