In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...

A quadratic function is a polynomial equation of degree two which typically takes the form of y = ax^2 + bx + c, where a, b, and c are constants. The vertex of a quadratic function is the point that ...

where a, b, and c are numerical constants and c is not equal to zero. Note that if c were zero, the function would be linear. An advantage of this notation is that it can easily be generalized by ...

Quadratic functions are essential in the world of mathematics and have a wide range of applications in various fields, such as physics, engineering, and finance. An inverse function can be thought of ...

The graph below has a turning point (3, -2). Write down the nature of the turning point and the equation of the axis of symmetry. For the parabola \(y=(x+6)(x-4)\) determine the coordinates and nature ...