Translations of Graphs What are translations of graphs? When you alter a function in certain ways, the effects on the graph of the function can be described by?geometrical transformations For a?tra...
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Composite Functions What is a composite function? How do I find the domain and range of a composite function? Exam Tip Worked Example Inverse Functions What is an inverse function? What are the con...
Modelling with Functions What is a mathematical model? A?mathematical model?simplifies a real-world situation so it can be described using mathematics The model can then be used to make predictions...
Sinusoidal Models What are the parameters of a sinusoidal model? The?c?represents the?phase shift This is a horizontal translation by?c?units The?d?represents the?principal axis This is the line th...
Direct Variation What is direct variation? Two variables are said to?vary directly?if their?ratio is constant?(k) This is also called?direct proportion The graphs of these models always?start at th...
Exponential Models What are the parameters of an exponential model? An?exponential model?is of the form Where e is the mathematical constant 2.718… The?c?represents the?boundary?for the function It...
Quadratic Models What are the parameters of a quadratic model? This is given in the formula booklet?as the?axis of symmetry What can be modelled as a quadratic model? These can be used if the graph...
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Linear Models What are the parameters of a linear model? The?m?represents the?rate of change?of the function This is the amount the function increases/decreases when?x?increases by 1 If the functio...
Quadratic Functions & Graphs What are the key features of quadratic graphs? If?a?is positive?then the vertex is the?minimum?point If?a?is negative?then the vertex is the?maximum?point Exam Tip ...
Graphing Functions How do I graph the function?y?=?f(x)? What is the difference between “draw” and “sketch”? If asked to sketch you should: Show the general shape Label any key points such as the i...
