Find the equation of the axis of symmetry of the following parabola algebraically.

y=3x²-48x+177

the equation of the axis of symmetry is

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: , being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of  the vertex of a parabola of the general form: , is given by:

which in our case becomes:

Then, the equation of the axis of symmetry for this parabola is:

24+x=y

step-by-step explanation: