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#### Resources tagged with Transformation of functions similar to Sine Problem:

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### There are 12 results

Broad Topics > Functions and Graphs > Transformation of functions

### 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.

### 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.

### Loch Ness

##### Age 16 to 18 Challenge Level:

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

### 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.

### 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.

### Parabolas Again

##### Age 14 to 18 Challenge Level:

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

### Exploring Cubic Functions

##### Age 14 to 18 Challenge Level:

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

### 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?

### 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.

### Painting by Functions

##### Age 16 to 18 Challenge Level:

Use functions to create minimalist versions of works of art.

### Agile Algebra

##### Age 16 to 18 Challenge Level:

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

### 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?