1. Trig graphs and transformations

2. Graphs of simple functions
learning objectives:
plot graphs of simple cubic functions, the reciprocal function, the exponential function, the trigonometric functions y = sin x and y = cos x
recognise the characteristic shapes of all these functions
draw and plot a range of mathematical functions
interpret and analyse a range of mathematical functions and be able to draw them, recognising that they are of the correct shape
Reference Material
Text: Chapter 12 page 166
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3. Quadratic graphs learning objectives:
generate points and plot graphs of simple quadratic functions, then more general quadratic functions
find approximate solutions of a quadratic equation from the graph of the corresponding quadratic function
find the intersection points of the graphs of a linear and a quadratic function, knowing that these are the approximate solutions of the corresponding simultaneous equations representing the linear and quadratic functions
Reference Material
Text: Chapter
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4. Transformation of functions
learning objectives:
apply to the graph of y = f(x) the transformations y = f(x) + a, y = f(ax), y = f(x + a), y = af(x) for linear, quadratic, sine and cosine functions f(x)
select and apply the transformations of reflection, rotation, enlargement and translation of functions expressed algebraically
interpret and analyse transformations of functions and write the functions algebraically
Reference Material
Text: Chapter
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5. Your turn