Question 1184512
three graphs.


first is y = x^2 - 5x + 4


second is y = |x^2 - 5x + 4|


third is both.


red is the first and blue is the second.
they are the same except for the piece that is negative (red piece).


that's where the first is negative and the second is positive, because that's the absolute value part.


<img src = "http://theo.x10hosting.com/2021/091201.jpg" >


<img src = "http://theo.x10hosting.com/2021/091202.jpg" >



<img src = "http://theo.x10hosting.com/2021/091203.jpg" >



absolute equation property.


is x is positive then |x| is equal to x.
if x is negative, then |x| is equal to -x.


the value of |x| is always positive.


here's a reference on absolute value.


<a href = "https://www.mathsisfun.com/numbers/absolute-value.html" target = "_blank">https://www.mathsisfun.com/numbers/absolute-value.html</a>