How do you graph [tex]y=|x| - 3[/tex]? Please explain.

y = x ⇓ S OX f or y < 0 ​ y = ∣ x ∣ ⇓ T a = [ 0 ; − 3 ] ​ y = ∣ x ∣ − 3
y = x f or x = 0 → y = 0 → ( 0 ; 0 ) f or x = 2 → y = 2 → ( 2 ; 2 ) l oo k a t t h e p i c t u re

Answered by Anonymous | 2024-06-10

To graph y = ∣ x ∣ − 3 , recognize that it is a transformation of the basic absolute value function ∣ x ∣ shifted down by 3 units. Key points can be plotted, including (0, -3) as the vertex and symmetrical points. Finally, connect the plotted points to reveal a V-shaped graph opening upward from the vertex.
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Answered by Anonymous | 2024-09-30