Modelling with Functions What is a mathematical model? A mathematical model simplifies a real-world situation so it can be described using mathematics which can then be used to make predictions The...
Combinations of Transformations What are combinations of graph transformations? When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical t...
Reflections What are graph transformations? When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical transformations With a reflection all...
Stretches What are graph transformations? When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical transformations With a stretch all the ...
Translations What are graph transformations? When you alter a function in certain ways, the effects on the graph of the function can be described by geometrical transformations With a translation t...
Proportional Relationships Proportional relationships Proportional relationships describe a proportional connection between two variables This can happen in two ways Both direct and inverse proport...
Solving Equations Graphically Solving (simultaneous) equations graphically This is a way to solve simultaneous equations (see Simultaneous Equations) Coordinates of the intersections are the soluti...
Reciprocal Graphs - Sketching What are reciprocal graphs? The second one of these is always positive More reciprocal graphs You also need to recognise graphs where the numerator is not one The sign...
Sketching Polynomials Sketching the graph of a polynomial Remember a polynomial is any finite function with non-negative indices, that could mean a quadratic, cubic, quartic or higher power When as...
