Resources tagged with: Transformation of functions

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

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.

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.

Exploring Cubic Functions

Age 14 to 18
Challenge Level

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