Resources tagged with: Transformation of functions

Other tags that relate to Tangled Trig Graphs

Transformation of functions. Symmetry. Biology. Graphing software and graphical calculators. Inequalities. Trigonometric functions and graphs. Graph sketching. Turning points. Functions and their inverses. Maths Supporting SET.

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.

Exploring Cubic Functions

Age 14 to 18
Challenge Level

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

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?

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.