How to Graph y=2-|x-5| ?

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Answer 1 · 2018-07-25T02:35:17

#" "#
Please read the explanation.

#" "#
We have the absolute value function:

#color(blue)(y=f(x)=2-|x-5|#

Let us look at the data table and the graph of the Parent Function:

#color(red)(y=f(x)=|x|#

enter image source here

Next, we will look at the data table of the given function:

#color(blue)(y=f(x)=2-|x-5|#

enter image source here

Graph of the absolute value function: #color(blue)(y=f(x)=2-|x-5|#

enter image source here

To understand the behavior of the absolute value function, let us examine the graphs of the parent function

#color(blue)(y=f(x)=|x|#

and the given function

#color(red)(y=f(x)=2-|x-5|#

enter image source here

Hope it helps.