# Resources tagged with: Transformation of functions

### There are 12 results

Broad Topics >

Coordinates, Functions and Graphs > Transformation of functions

##### 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.

##### 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.

##### 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.

##### Age 16 to 18

Challenge Level

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

##### Age 14 to 18

Challenge Level

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

##### 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.

##### Age 14 to 18

Challenge Level

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

##### 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?

##### 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.

##### 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?

##### Age 16 to 18

Challenge Level

Use functions to create minimalist versions of works of art.

##### Age 16 to 18

Challenge Level

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