Question 1190465
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Complete the square to write the following quadratic functions in vertex form. 
Use algebra tiles to illustrate and annotate each step of the completing the square process 
and include pictures here. You can use sentences to describe why the pictures and process makes sense.
y= -x^2 + 10x + 3
I already know that it can be presented as y = -(x-5)^2 - 22, but I got to that algebraically using equations. 
Could you help get to the solution using algebra tiles?
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            What  " you already know "  and what is written in your post,  is not correct.


            The correct answer is  THIS:    -x^2 + 10x + 3  =  -(x-5)^2 + 28.


            Step by step algebra transformations are as follows :



<pre>
-x^2 + 10x + 3 = -(x^2 -10x) + 3 = -(x^2 - 10x + 25) + 25 + 3 = -(x-5)^2 + 28.    <U>ANSWER</U>



<U>CHECK with my formula</U>.  Take x = 0.  You will get


         -x^2 + 10x + 3 = -0^2 + 10*0 + 3 = 3       for the left side,  


     and  -(0-5)^2 + 28 = -5^2 + 28 = -25 + 28 = 3  for the right side.  ! correct !
</pre>

Solved.


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To learn completing the square method, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Learning-by-examples-on-HOW-TO-complete-the-square.lesson>HOW TO complete the square - Learning by examples</A> 

in this site.



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I have no idea what is algebra tiles, &nbsp;never saw it and never kept them in my hands &nbsp;(thanks to god).



But you may request and find some videos in YouTube, for example, this one


https://www.youtube.com/watch?v=TyWLzx9UaDA


(and, probably, tens others similar videos).