Express $y={{x}^{2}}-8x+17$ in the form of $y={{(x-h)}^{2}}+k$. Hence, state the maximum or mini

Question

Express $y={{x}^{2}}-8x+17$ in the form of $y={{(x-h)}^{2}}+k$. Hence, state 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. Sketch the graph and indicate clearly the turning point and cutting point(s) on the axes.

Accepted Answer

$y=(x-4)^2+1$ (i) Minimum point $(4,1)$, at $x=4$ (ii) $x=4$

Completing the Square for \(a=1\)

Completing the Square for \(a=1\)

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