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...
Modulus Functions - Solving Equations Modulus graphs and equations Two non-parallel straight-line graphs would intersect once If modulus involved there could be more than one intersection Deducing ...
Modulus Functions - Sketching Graphs Modulus functions The modulus function makes any ‘input’ positive |x| = x if x ≥ 0 |f(x)| = f(x) if f(x) ≥ 0 |x| = -x if x < 0 |f(x)| = -f(x) if f(...
Inverse Functions What is an inverse function? An inverse function is the opposite to the original function An inverse function is denoted by The inverse of a function only exists if the function i...
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...
Proportional Relationships Proportional relationships Proportional relationships describe a proportional connection between two variables This can happen in two ways Direct proportion one variable ...
Solving Equations Graphically Solving (simultaneous) equations graphically This is a way to solve simultaneous equations (see Simultaneous Equations) Coordinates of the intersections are the...
