Answer:
Our equation is in standard form to begin with: y=ax2+bx+c
We want to put it into vertex form: y=a(x-h)2+k
We can convert to vertex form by completing the square on the right hand side
36 is the value for 'c' that we found to make the right hand side a perfect square trinomial
Our perfect square trinomial factors into two identical binomials, (x+6)•(x+6)
The vertex of an equation in vertex form is (h,k), which for our equation is (-6,-4)
y=x2+12x+32 is in standard form
We want to get it into vertex form
To do this, we are going to use the method of completing the square
Standard form of a quadratic equation is y=ax2+bx+c, where 'a' is not 0
Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the quadratic function
