<span><span>Quadratics: solversPractice!Answers archiveLessonsWord ProblemsIn Depth </span><span> This Solver (Convert to Vertex Form and Graph) was created by by ccs2011(207) : View Source, Show, Put on YOUR site About ccs2011: <span>Convert to Vertex Form and Graph<span><span> Enter quadratic equation in standard form: --> x2 + x +
</span> </span></span>Solution by Convert to Vertex Form and Graph<span>--> Step 1: Group the first 2 terms together, separating them from the constant term. --> Step 2: Factor out leading coefficient, for completing the square to work, the coefficient of x2 must be 1. --> Step 3: Complete the square, Take half of x coefficient and square it. Notice to keep equation balanced you must add this number and subtract it making the net effect zero. --> --> Step 4: Distribute and add constants. --> --> Now it is successfully in vertex form and can be easily graphed. The vertex is at (-3,-4) The parabola opens up and has a y-intercept at (0, 14)