Sketching a Quadratic Graph from Vertex Form and Identifying Key Features

Sketching a Quadratic Graph from Vertex Form and Identifying Key Features

Secondary 3
  1. Sketch the graph of \(y=3-{{(x-1)}^{2}}\), showing the intercepts and coordinates of the turning point clearly.
  2. State the coordinates of the turning point.

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Answer:(i) Turning point: \((1,3)\); \(y\)-intercept: \((0,2)\); \(x\)-intercepts: \((1-\sqrt3,0)\) and \((1+\sqrt3,0)\). (ii) \((1,3)\).

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