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Sketching a Quadratic Graph with a Maximum Turning Point and Line of Symmetry

Sketching a Quadratic Graph with a Maximum Turning Point and Line of Symmetry

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  1. Sketch the graph of \(y=-{{\left( x-5 \right)}^{2}}\), showing the intercepts and coordinates of the turning point clearly.
  2. Write down the equation of the line of symmetry.

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Answer:(i) Turning point and \(x\)-intercept: \((5,0)\); \(y\)-intercept: \((0,-25)\). (ii) \(x=5\).

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