 Look at how “a” changes the equation  Determine the equation of a polynomial  Writing the polynomial in standard form

 Up to this point  We have only looked at the roots and degrees of a polynomial  This information allowed us to sketch our graphs  However, we have not been able to determine the exact equations

 We have seen this factor come into play before… where?  When transforming functions we had to solve for this term by looking a non-linear functions with an included point  This factor would determine whether our graph was stretched or compressed

 Most of the time we will be given only an equation and asked to graph it  There are two versions of an equation that we will explore:  Factored Form (FF)  Standard Form (SF)

 Our ultimate goal is transform our polynomials from SF to FF so we can find solutions and graph them  However, we must be comfortable with going from FF to SF first  To do this we must distribute each term in its factored form and simplify the end result

 Worksheet