If $\displaystyle {f{{\left({x}\right)}}}={2}{x}^{{2}}-{6}{x}+{3}$, find $\displaystyle {f}'{\left({0}\right)}$. Preview Question 6 Part 1 of 3  

Use this to find the equation of the tangent line to the parabola $\displaystyle {y}={2}{x}^{{2}}-{6}{x}+{3}$ at the point $\displaystyle {\left({0},{3}\right)}$. The equation of this tangent line can be written in the form $\displaystyle {y}={m}{x}+{b}$
where $\displaystyle {m}$ is: Preview Question 6 Part 2 of 3  
and where $\displaystyle {b}$ is: Preview Question 6 Part 3 of 3