2DefinitionThe set of all points in a plane that are the same distance from a given point called the focus and a given line called the directrix.
3Writing linear equation in parabolic form GOAL: Turn general formStandard form
4Writing linear equation in parabolic form Start withGroup the two x-termsPull out the constant with x2 from the groupingComplete the square of the grouping**Look back to Topic 6.3 for help**Write the squared term as subtraction so that you end with standard form
5Group x-termsPull out GCFComplete the Square**Remember that whatever you add in the grouping must be subtracted from the c-value**Factor and simplify
6Summary of Parabolas in Standard Form EquationAxis of symmetryx = hy = kVertex(h, k)FocusDirectrixDirection of openingUp: a>0, Down: a<0Right: a>0, Left: a<0Latus Rectum