Question 109696
To find the axis of symmetry, use this formula:


{{{x=-b/(2a)}}}


From the equation {{{y=3x^2+24x+47}}} we can see that a=3 and b=24


{{{x=(-24)/(2*3)}}} Plug in b=24 and a=3



{{{x=(-24)/6}}} Multiply 2 and 3 to get 6




{{{x=-4}}} Reduce



So the axis of symmetry is  {{{x=-4}}}