Uncover the usage and properties of quadratic graphs, which illustrate equations of the form y = ax² + bx + c. Remember, the value of 'a' influences the shape and direction of the graph.

Explore the features of cubic graphs, represented by y = ax³ + bx² + cx + d. Understand how the value of 'a' influences the graph’s shape and direction.

Delve into the concepts of reciprocal graphs, y = a/x and y = a/(x + h), and understand their unique hyperbolic shapes.

Familiarise yourself with the idea of transformation of graphs. This encompasses translations (moving the graph), reflections (flipping the graph), and stretches (changing the shape of the graph).

Analyse graphs that depict real-life applications like distance-time or speed-time graphs. Not only will this require plotting skills, but also interpreting what the graph means in context.

Learn about the importance of the line of symmetry in a parabola. This line passes through the vertex of the parabola and divides the parabola into two perfect halves.

Familiarise yourself with a graph's key features, including the y-intercept (where the graph crosses the y-axis), x-intercept (where the graph crosses the x-axis) and turning points or vertices.

Understand the fundamentals of simultaneous equations involving a linear and a quadratic equation. To solve these, you can substitute the linear equation into the quadratic equation, and sketch the graphs to find the points of intersection.

Discover methods to interpret and build distance-time graphs. Understand that the slope of the line in a distance-time graph signifies speed.

Unearth techniques for recognising underlying graph shapes from equations, and for sketching graphs with considerations of important areas like intercepts and turning points.