Graph Equation Identification

CMAT 2021 · Quantitative Techniques & Data Interpretation · Medium · Functions and Graphs

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Which of the following equations best describes the graph given below? (Graph passes through $(6,0)$ , $(-6,0)$ , $(8,2)$ , $(-8,2)$ , $(8,-2)$ , $(-8,-2)$ )

Cartesian coordinate graph with points (-8,2), (-6,0), (6,0), (8,2), (-8,-2), and (8,-2)

A.
$|x + y| - |x - y| = 6$
B.
$|x - y| + |x + y| = 10$
C.
$|x| - |y| = 6$
D.
$|x + y| - |x - y| = 0$

Answer

Explanation

Test $(6,0)$ : $|6| - |0| = 6$ . Test $(8,2)$ : $|8| - |2| = 6$ . Test $(-8,2)$ : $|-8| - |2| = 6$ . Hence, $|x| - |y| = 6$ uniquely fits all vertices of the graph.

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Graph Equation Identification

Explanation

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