# What is the derivative graph of a parabola?

The formula for a parabola is $y = a {x}^{2} + b x + c$, where $a , b \mathmr{and} c$ are numbers.
$\frac{d}{\mathrm{dx}} \left(a {x}^{2} + b x + c\right) = 2 a x + b$
So the derivative function is $y = 2 a x + b$