Question

Chose the graph that represents the equation y=|x-4|

Answer 1

You have not shared the graphs from which you have to choose your answer.

Why not graph y=|x-4| yourself, to help you choose the correct answer?

First, graph y=|x|. It looks like a "v" opening up, with the vertex at (0,0).
Next, move the whole "v" graph 4 units to the right.

Compare your result to the given answer choices.

Answer 2

V shape.

Vertex at (4,0)

Intersect with y axis at (0,4)

Explanation:

In order to solve this you just ahve to search fo the graph that grows like a V because when you deal with functions that have absolute values you can have negative and positive values for the independent variable but not for the dependent, in this case x is the independent so x will have negative and positive values while Y will only grow in the postives, now the vertex of the function is found where Y=0 so to calculate that you equal the function to 0

y=|x-4|

0=|x-4|

x=4

So the vertex will be at (4,0) and the intersect with the y axis will be located where x=0, so you evaluate the function for 0:

y=|x-4|

y=|o-4|

y=|-4|

y=4

So the intersect with the y axis will be at (0,4).