the effect of transformations of the plane, dilation, reflection in axes, translation and simple combinations of these transformations, on the graphs of functions
U1.AoS1.13
describe the effect of transformations on the graphs of relations and functions
U1.AoS2.9
representations of points and transformations
U1.AoS2.5
transformations of the plane and application to basic functions and relations by simple combinations of dilations (students should be familiar with both ‘parallel to an axis’ and ‘from an axis’ descriptions), reflections in an axis and translations (matrix representation may be used but is not required)
U2.AoS1.19
sketch by hand the unit circle, graphs of the sine, cosine and exponential functions, and simple transformations of these to the form Af(bx)+c , sketch by hand graphs of log_a(x) and the tangent function, and identify any vertical or horizontal asymptotes
U2.AoS1.15
the effect of transformations of the plane on the graphs of sine, cosine, tangent and exponential functions
U2.AoS1.21
describe the effect of transformations of the plane on the graphs of the sine, cosine, tangent and exponential functions
U2.AoS1.7
exponential functions of the form f(x)=A a^(kx) + c and their graphs