The graph of y=|x| is transformed as shown in the graph below. which equation represents the transformed function?

we have that

the original function has the vertex at point

The transformed function has the vertex at point

so

the rule of the translation is equal to

That means

The translation is units to the left and units down

therefore

the answer is

the transformed function is

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:

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step-by-step explanation: