Question

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

Answer 1

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`