The vertex form of the Quadratic equation is y = [tex](x-3)^{2}[/tex] +5. The vertex is (3, 5), which is a maximum point.
A quadratic equation is an algebraic equation with the power of its variable 2.
it can be written in standard form which is called vertex form or in the general form.
Analysis:
y = [tex]x^{2}[/tex] -6x +14
y = [tex]x^{2}[/tex] -6x +9 +5
Simplifying this perfect square expression y = [tex]x^{2}[/tex] -6x +9
y = [tex]x^{2}[/tex] -3x -3x +9
y = x(x-3) -3(x-3) + 5
y = (x-3)(x-3) +5
y = [tex](x-3)^{2}[/tex] + 5
In conclusion, the Vertex form of the equation is y = [tex](x-3)^{2}[/tex] + 5
Learn more about quadratic equation: brainly.com/question/1214333
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