Sketch the graph of $y={{x}^{2}}-5x+6$, indicate clearly the turning point and cutting point(s) on

Question

Sketch the graph of $y={{x}^{2}}-5x+6$, indicate clearly the turning point and cutting point(s) on the axes. Hence, find the maximum or minimum point of the function and the value of $x$ where it occurs, the equation of the line of symmetry of the graph.

Accepted Answer

(i) Minimum value $-\frac14$ at $x=\frac52$ (ii) $x=\frac52$

Completing the square

Completing the square

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