SOLUTION
The given equation is:
[tex]g(x)=13+x^2-6x[/tex]
Rewrite the equation in general form:
[tex]g(x)=x^2-6x+13[/tex]
The standard form of a quadratic function is of the form:
[tex]g(x)=a(x-h)+k[/tex]
Rewriting g(x) in standard form is done as follows:
[tex]\begin{gathered} g(x)=x^{2}-6x+13 \\ g(x)=x^2-6x+3^2+4 \\ g(x)=(x-3)^2+4 \end{gathered}[/tex]
Therefore the standard form of the given function is:
[tex]g\mleft(x\mright)=\left(x-3\right)^2+4[/tex]
