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 vertex is the parabola's minimum or maximum ... The coefficient a in the quadratic equation determines the direction in which the parabola opens. If the coefficient is positive, it opens ...