# How do you graph #y = - absx+ 2#?

##### 1 Answer

Mar 12, 2018

#### Answer:

It should look like the graph below:

graph{-abs(x)+2 [-10, 10, -5, 5]}

#### Explanation:

Graphs using an absolute value have 'corners' near where the value inside the bars changes sign. in this case, the 'corner' appears at x=0.

Normally,

graph{abs(x) [-10, 10, -5, 5]}

However, the negative sign flips the graph over:

graph{-abs(x) [-10, 10, -5, 5]}

Finally, the addition of the +2 shifts the graph 2 units up:

graph{-abs(x)+2 [-10, 10, -5, 5]}

This can be shown in a table:

x y

-5 -3

-3 -1

-1 1

0 2

1 1

3 -1

5 -3