VCE Together Year 12 Mathematical Methods: Transformations of Functions

Mathematical Methods

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Transformations of Functions

This is part of the VCE Maths Method course under the topic Functions and Graphs and sub-topic Composite Functions, Transformations and Inverses. In this post, we apply transformations to sketch functions of the form y=kf(a(x+b))+c , where f(x) is a polynomial, reciprocal, absolute value, exponential or logarithmic function and a,b,c and k are constants.

  • Examine transformation from y = f  (x) to y = Af  (n(x + b)) + c, where A, n, b and c ∈ R, A, n ≠ 0, and f is one of the functions specified above
  • Examine the inverse transformation
  • Apply matrices to transformations of functions and their graphs up to degree 4

Matrices and Transformations of Functions

In this video, we will learn the basics of matrices.

In this video, we will learn how to apply matrices to transformations.

Transforming and Sketching Functions

In these videos, we will learn how to transform and sketch functions.

Part 1

Part 2

Part 3

Want to learn more? Check out more of our VCE Mathematics resources here!

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