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:

i hope this is what you were looking for.

see attached graph

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: