Maybe the other tutor didn't break it down enough for you 
to understand.  Some people require a little more breakdown 
and explanation than others.  Here is the complete breakdown 
all the way to the graph.  Study it carefully and use it as
a model for your other problems and you'll know how to do them
all.



Factor 4 out of the first two terms. (Don't factor out 4x, just 4)



To the side:
Multiply the coefficient of x, which is 6, by .  
Square 3.   
Add +9-9 to the 6x inside the parentheses. (It doesn't affect the value
because adding +9-9 is the same as adding 0.



To the side:
Factor the first three terms inside the parentheses: x²+6x+9 = (x+3)(x+3)
Write (x+3)(x+3) as (x+3)². 
Replace x²+6x+9 by (x+3)²



Remve the BIG parentheses (not the small ones) by distributing the 4
into the BIG parentheses leaving the small parentheses intact:



Combine the -36-13 as -49



That's it.  Compare it to



And see that -h = +3 which means h = -3
             +k = -49 which means or k = -49

Which means the vertex point is (h,k) = (-3,-49)

and that the graph passes through the three points

1.  The vertex = (h,k) = (-3,-49)
2.  The point just to the right of the vertex: (h+1,k+a) = (-3+1,-49+4) = (-2,-45)
3.  The point just to the left of the vertex: (h-1,k+a) = (-3-1,-49+4) = (-4,-45)

Plot those three points and sketch the graph:



Edwin