For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram shows the main properties: If k > 0, the vertex is a minimum turning point If k < 0, the vertex is a maximum ...

The word "quadratic" comes from quadratum, the Latin word for square. Quadratic equations characterize a ... at which the graph of the standard form of the equation (y = x² – x – 1) crosses ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry ...

This problem can be written down as a quadratic equation of the form Ax 2 +Bx+C=0 ... way the conventional approach proves that quadratic equations have two roots. “Perhaps the reason is ...