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1 Pure Mathematics

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Question 197
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The trajectory of a subterranean mining probe is modeled by the function y=p(x)y = p(x)y=p(x), where xxx represents horizontal distance and yyy represents vertical position relative to a baseline. The probe's path forms a V-shape, descending to its lowest point at the vertex (7,−5)(7, -5)(7,−5) and intersecting the vertical axis at the point (0,2)(0, 2)(0,2).

Identify which one of the four equations listed below is the correct equation of the probe's trajectory.

□y=∣x−7∣+5\square \quad y = |x - 7| + 5□y=∣x−7∣+5

□y=∣x+7∣−5\square \quad y = |x + 7| - 5□y=∣x+7∣−5

□y=∣x−7∣−5\square \quad y = |x - 7| - 5□y=∣x−7∣−5

□y=∣x+7∣+5\square \quad y = |x + 7| + 5□y=∣x+7∣+5

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1 Pure Mathematics Questions

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1.1.3 Set theory language and symbols
1.1.4 Definition, domain and range of functions