Completing the Square and Graphing a Quadratic Function
Completing the Square and Graphing a Quadratic Function
TGM Original
- Express \(y={{x}^{2}}-4x+7\) in the form \(y={{(x-a)}^{2}}+b\).
- Sketch the graph of \(y={{x}^{2}}-4x+7\) in the space provided below, showing clearly the \(y\)-intercept, the \(x\)-intercepts (if any) and the coordinates of the turning point.
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Answer:(i) \(y=(x-2)^2+3\). (ii) Turning point: \((2,3)\); \(y\)-intercept: \((0,7)\); no real \(x\)-intercepts.
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