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Sketching and Analysing the Graph of a Quadratic Function

Sketching and Analysing the Graph of a Quadratic Function

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  1. Sketch the graph of \(y={{\left( x+2 \right)}^{2}}-3\).
    Indicate clearly the values where the graph crosses the intercepts and coordinates of the turning point clearly.
  2. Write down the equation of the line of symmetry of the graph of \(y={{\left( x+2 \right)}^{2}}-3\).

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Answer:(i) Vertex \((-2,-3)\); y-intercept \((0,1)\); roots \(x=-2\pm\sqrt3\). (ii) \(x=-2\).

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