A graph shows a V-shaped curve opening upwards with vertex at and points and lying on it

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

A graph shows a V-shaped curve opening upwards with vertex at (2,0)(2,0) and points (0,2)(0,2) and (4,2)(4,2) lying on it. Which of the following equations matches this graph? (a) y=∣x∣+2y=|x|+2 (b) y=∣x+2∣y=|x+2| (c) y=∣x−2∣y=|x-2| (d) y=∣x−2∣+2y=|x-2|+2

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