Graphing Techniques - Quadratic Functions, Absolute Values, and Transformations

Learn essential graphing techniques through a comprehensive tutorial covering absolute value functions, quadratic functions, and advanced transformations. Master graphing |y| = |x| - 1 through exam problem solving, develop skills in factorising and finding roots of quadratic functions, and discover methods for finding vertices and graphing parabolas. Explore advanced concepts including raising original graphs to powers, reciprocating functions, and graphing regions on the Cartesian plane. Build understanding of square root functions by visualizing both the original function and its square root transformation through step-by-step demonstrations and practical examples.

Syllabus

Exam Problem: Graph |y| = |x| - 1
Factorising & Finding Roots of a Quadratic Function
Finding Vertex & Graphing a Quadratic Function
Extension II Assessment Review (3 of 5: Raising Original Graphs to Powers & Reciprocating)
Graphing Regions on the Cartesian Plane
Graphing √f(x) (2 of 2: Visualising the square root)
Graphing √f(x) (1 of 2: Visualising the original function)