Modulus Function - Graphs of Modulus Function

Modulus Function - Graphs of Modulus Function

IP 3

The diagram below shows part of the graph of \(y=\left|2-\frac{x}{2}\right|-1\). Point \(A\) is the \(y\)-intercept, point \(B\) is the \(x\)-intercept and point \(C\) is the vertex. Find the coordinates of the points \(A\),\(B\), and \(C\).

Source note: the diagram labels both the vertex and the right x-intercept C, while the text asks for B as an x-intercept. The equation gives two x-intercepts, so the intended B cannot be identified uniquely from these labels.

Solution:

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Answer:\(A=(0,1),C=(4,-1)\) using the text. The x-intercepts are \((2,0),(6,0)\); B is ambiguous in the source.

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