Basic Coordinate Geometry What is basic coordinate geometry? Basic coordinate geometry refers to working with points, lines and shapes on the coordinate axis Cartesian?coordinates are simply the?x?...
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...
Inverse Functions Inverse functions An?inverse?function?is the?opposite?to the original function It is denoted by?f-1(x) An inverse only exists for?one-to-one?functions Graphs of inverse functions ...
Composite Functions What is a composite function? A?composite function?is where one function is applied after another function The ‘output’?of one function will be the ‘input’?of the next one Somet...
