Resources tagged with: Transformation of functions

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There are 12 NRICH Mathematical resources connected to Transformation of functions, you may find related items under Coordinates, Functions and Graphs.

Broad Topics > Coordinates, Functions and Graphs > Transformation of functions

Loch Ness

Age 16 to 18
Challenge Level

Draw graphs of the sine and modulus functions and explain the humps.

Exploring Cubic Functions

Age 14 to 18
Challenge Level

Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Parabolas Again

Age 14 to 18
Challenge Level

Here is a pattern composed of the graphs of 14 parabolas. Can you find their equations?

Parabolic Patterns

Age 14 to 18
Challenge Level

The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.

The Why and How of Substitution

Age 16 to 18

Step back and reflect! This article reviews techniques such as substitution and change of coordinates which enable us to exploit underlying structures to crack problems.

Agile Algebra

Age 16 to 18
Challenge Level

Observe symmetries and engage the power of substitution to solve complicated equations.

Painting by Functions

Age 16 to 18
Challenge Level

Use functions to create minimalist versions of works of art.

Operating Machines

Age 16 to 18
Challenge Level

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

Ellipses

Age 14 to 18
Challenge Level

Here is a pattern for you to experiment with using graph drawing software. Find the equations of the graphs in the pattern.

More Parabolic Patterns

Age 14 to 18
Challenge Level

The illustration shows the graphs of twelve functions. Three of them have equations y=x^2, x=y^2 and x=-y^2+2. Find the equations of all the other graphs.

Sine Problem

Age 16 to 18
Challenge Level

In this 'mesh' of sine graphs, one of the graphs is the graph of the sine function. Find the equations of the other graphs to reproduce the pattern.

Cubic Spin

Age 16 to 18
Challenge Level

Prove that the graph of f(x) = x^3 - 6x^2 +9x +1 has rotational symmetry. Do graphs of all cubics have rotational symmetry?