Which of the following describes graphing y ≥ |x| + 4?

translate y = |x| down 4 units and shade inside the v.
translate y = |x| up 4 units and shade inside the v.
translate y = |x| left 4 units and shade inside the v.
translate y = |x| right 4 units and shade inside the v.

Translate   up units and shade inside the V

Step-by-step explanation:

we know that

The function has the vertex at point

The function has the vertex at point

so

the rule of the translation is

That means

The translation is units up

The solution of the inequality  

is the shaded area inside the V

see the attached figure to better understand the problem

therefore

the answer is

Translate   up units and shade inside the V

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

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