Hello.
[tex]\mathrm{y=x^{2} +6x+5}[/tex] is a quadratic function, because it has an [tex]\mathrm{x^{2} }[/tex] (x squared, or x times x) term.
Here's what linear functions look like:
[tex]\mathrm{y=mx+b}[/tex]
A graph of a linear function is a line.
Quadratic functions look like so:
[tex]\mathrm{y=ax^{2} +bx+c}[/tex]
A graph of a quadratic function is a parabola.
Therefore, the given function is a quadratic function.
I hope this helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
