Express $y={{x}^{2}}-16x+23$ in form of $y={{\left( x-h \right)}^{2}}+k$. Hence, state the maxim

Question

Express $y={{x}^{2}}-16x+23$ in form of $y={{\left( x-h \right)}^{2}}+k$. 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.

Accepted Answer

$y=(x-8)^2-41$. (i) Minimum point $(8,-41)$, at $x=8$. (ii) $x=8$.

Quadratic Functions, Equations and Inequalities - Completing the Square and Vertex Form

Quadratic Functions, Equations and Inequalities - Completing the Square and Vertex Form

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