What is the degree of a quadratic function f? What is the standard form of a quadratic function? How do you put a quadratic function into standard form?

What is the degree of a quadratic function f? What is the standard form of a quadratic function? How do you put a quadratic function into standard form?
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A quadratic function is of the form $f\left(x\right)=a{x}^{2}+bx+c$
So, the degree of quadratic function is = 2
The standard form of a quadratic function is $f\left(x\right)=a{x}^{2}+bx+c.$
If a quadratic function is not in the standard form, then we try to put it in $f\left(x\right)=ax2+bx+c$. form to get the standard form.
For example:
$f\left(x\right)=2{\left(x-1\right)}^{2}+3$
$f\left(x\right)=2\left({x}^{2}-2x+1\right)+3$
$f\left(x\right)=2{x}^{2}-4x+2+3$
$f\left(x\right)=2{x}^{2}-4x+5$ (standard form)