Knowledge organiser
Textbook chapter
PMT solutions
https://sites.google.com/view/mathematics-videos-geogebra/home/a-level-year-1/09-graphs-and-transformations
Y1 Pure 4.1
Cubic graphs (x^3)
Intro: cubic graphs
Sketching cubics from factorised form
Y1 Pure 4.2
Quartic graphs (x^4)
Sketching quadratics, cubics, quartics and quintics
Sketching quartics from factorised form
Y1 Pure 4.3
Reciprocal graphs
Intro: reciprocal graphs of the form y = a/x
Sketching reciprocal graphs of the form y = a/x
Introducing reciprocal graphs of the form y = a/x^2
Y1 Pure 4.4
Points of intersection
Intro: finding points of intersection
Example - line and curve
Example - two curves
Y1 Pure 4.5
Translating graphs
Sketching translated reciprocal graphs
Transforming y = x^2 (quadratics)
Transforming y = x^3 (cubics)
Y1 Pure 4.6
Stretching graphs
Transforming
y = (factorised cubics)
Transforming y = 1/x (reciprocal)
Y1 Pure 4.7
Transforming functions
Describing single transformations
Transforming coordinates
Transforming graphs via ‘replacing’