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 ...

Key fact The quadratic formula for a quadratic equation in the form of \(ax^2 + bx + c = 0\) is: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\) Solve \(x^2 + 6x - 12 = 0\) using the quadratic formula.

Whether in the context of quadratic functions ... (If a were zero, you would have a linear equation.) Through this equation, you can identify the vertex, axis of symmetry and the direction ...