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GeoGebraGeoGebra Classroom

Quadratic: Compare Standard to Vertex Forms

The vertex form of the quadratic equation is f(x) = a x² + b x + c and the standard form is f(x) = a(x - h)² + k. Adjust the sliders a, b, and c to create the quadratic equation that you wish to explore. The vertex is at (h, k). Select check box to see the vertex Select check box to see roots or points of intersection of the graph and the x-axis. Another check box will show how to use the quadratic formula to solve for the roots of the equation.