Other tags that relate to Tangled Trig Graphs
Maths Supporting SET. Symmetry. Transformation of functions. Graphing software and graphical calculators. Turning points. Trigonometric functions and graphs. Graph sketching. Biology. Functions and their inverses. Limits of Sequences.There are 12 results
Broad Topics > Coordinates, Functions and Graphs > Transformation of functions
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.
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.
Loch Ness
Age 16 to 18 Challenge Level:
Draw graphs of the sine and modulus functions and explain the humps.
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.
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?
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.
NRICH is part of the family of activities in the Millennium Mathematics Project.