Problem

Analyze \(y~=~0.5|x|~-~4\). State \(a\), \(h\), and \(k\); give the vertex, opening, left and right arm slopes, and range; and list symmetric anchors \(\text{two}~\text{units}\) from the vertex.

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Parameters: a=1/2, h=4, k=0. Vertex: (4,0). Opening: up. Slopes: left −1/2, right 1/2. Range: [0,∞). Anchors: (2,1), (6,1).

Parameters: a=1/2, h=0, k=−4. Vertex: (0,−4). Opening: up. Slopes: left −1/2, right 1/2. Range: [−4,∞). Anchors: (−2,−3), (2,−3).

Parameters: a=−1/2, h=0, k=−4. Vertex: (0,−4). Opening: down. Slopes: left 1/2, right −1/2. Range: (−∞,−4]. Anchors: (−2,−5), (2,−5).

Parameters: a=1/2, h=0, k=−4. Vertex: (0,−4). Opening: up. Slopes: left 1/2, right −1/2. Range: [−4,∞). Anchors: (−2,−5), (2,−5).

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