Question

Given the equation . write the equation in general formAnd then standard form

Answer 1

SOLUTION

The given equation is:

$g(x)=13+x^2-6x$

Rewrite the equation in general form:

$g(x)=x^2-6x+13$

The standard form of a quadratic function is of the form:

$g(x)=a(x-h)+k$

Rewriting g(x) in standard form is done as follows:

$\begin{gathered} g(x)=x^{2}-6x+13 \\ g(x)=x^2-6x+3^2+4 \\ g(x)=(x-3)^2+4 \end{gathered}$

Therefore the standard form of the given function is:

$g\mleft(x\mright)=\left(x-3\right)^2+4$