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introduction coordinates lines curves
topics
curves Curves
graphs Investigate all the standard curves including quadratic, cubic and reciprocal and the graphs of the trigonometrical functions sine, cosine and tangent. Solve equations using graphical methods and see how curves are affected by transformations.

Vocabulary

amplitude coefficient cosine cubic fraction frequency integer maximum minimum periodic quadratic reciprocal sine tangent transformation trigonometry translation gradient intersection linear slope solution solve

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GCSE
generate points and plot graphs of quadratic functions;
find approximate solutions of a quadratic equation from its graph;
find the intersection points of the graphs of a linear and quadratic function
plot graphs of: simple cubic functions, the reciprocal function y = 1/x;
the exponential function y = kx;
the circular functions y = sinx and y = cosx;
recognise the characteristic shapes of all these functions;
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)
quadratic »
a1 a2 a3 a4
b1 b2 b3 b4
c1 c2 c3 c4
a1 a2 a3 a4
cubic »
a1 a2 a3 a4
b1 b2 b3 b4
c1 c2 c3 c4
reciprocal »
a1 a2 a3 a4
b1 b2 b3 b4
c1 c2 c3 c4
trig »
a1 a2 a3 a4
b1 b2 b3 b4
c1 c2 c3 c4
others »
a1 a2 a3 a4
b1 b2 b3 b4
c1 c2 c3 c4
solving »
a1 a2 a3 a4
b1 b2 b3 b4
c1 c2 c3 c4
gradient »
a1 a2 a3 a4
b1 b2 b3 b4
c1 c2 c3 c4
transforming »
a1 a2 a3 a4
b1 b2 b3 b4
c1 c2 c3 c4
a1 a2 a3 a4
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