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 ...

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 ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...

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 ...

The vertex of a parabola or quadratic equation is the curve’s highest or the lowest point and is also called the maximum or the minimum point of a curve. The vertex can be found on the line of ...

Practise sketching quadratic graphs by finding out where the graph crosses each axis. This worksheet contains simple examples using factorising. It also includes the line of symmetry and locating the ...