Query about Question 3 from "PrepSwift: Graphing Absolute Value Equations" [3199] -

[user11537]

https://prepswift.gregmat.com/quizzes/quiz/prepswift-graphing-absolute-value-equations (Question 3)

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I didn’t understand why is it +1 on x axis and isn’t y supposed to be negative so the area should be of the downward shaded region ?

[Kweku]

@user11537

I didn’t understand why is it +1 on x axis

That is the x-intercept.

At the x-intercept, y=0. If you substitute y=0 into y=-|1-x|, that is how we get x = +1.

@user11537

and isn’t y supposed to be negative so the area should be of the downward shaded region ?

The value of y is ALWAYS negative.

Tinker with the Windows graphing calculator ( use the graphing function) or desmos to better understand