Question 481534
.
I'm struggling with this. I need to find the vertex, line of symmetry, and the max or min value of f(x).
The equation is f(x)=1/3 (x+7)^2 + 9
~~~~~~~~~~~~~~~~~~~~~~~~~



        In his post, tutor @Theo makes a lot of unnecessary calculations.

        If you will follow his solution, your teacher will see that you do not understand the basic conceptions

        of the subject.


        The problem can be and should be solved in couple of lines.

        Do not follow the @Theo' solution, since it is wrong way teaching.



<pre>
You are given an equation of a parabola in the vertex form.

Having this equation, you immediately see that the line of symmetry is x=-7
and the vertex point is (-7,9).


Minimum value of the function is 9 at x = -7  (at the vertex point).
</pre>

Solved.


---------------------------


This is all that your teacher wants to get from you.


I don't know, for what reason tutor @Theo to bulk up tons of unnecessary calculations in many 
of his posts. It is definitely wrong style teaching --- I would even say - unacceptable style of teaching.


It is why I re-write one his "solution" after another.