Question 744560
{{{y-k=a(x-h)^2}}} Substitute the values for h and k><P>
{{{y-(c-b^2/4a)=a(x-(-b/2a))^2}}}<P>
{{{y-c+b^2/4a=a(x+b/2a)^2}}} <P>
FOIL {{{(x+b/2a)^2}}}<P>
{{{y-c+b^2/4a=a(x^2 +2bx/2a + b^2/4a^2)}}}<P>
Distribute a<P>
{{{y-c+b^2/4a=ax^2 +2abx/2a + ab^2/4a^2)}}}<P>
Cancel where possible<P>
{{{y-c+b^2/4a=ax^2 +bx + b^2/4a)}}}<P>
Add c to both sides.  Subtract {{{b^2/4a}}} from both sides.<P>
{{{y=ax^2+bx+c}}}
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