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Resources tagged with Graph plotters similar to Painting by Functions:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Information and Communications Technology > Graph plotters

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Parabolic Patterns

Stage: 4 and 5 Challenge Level: Challenge Level:1

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.

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More Parabolic Patterns

Stage: 4 and 5 Challenge Level: Challenge Level:1

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.

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Parabolas Again

Stage: 4 and 5 Challenge Level: Challenge Level:1

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

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Cubics

Stage: 4 and 5 Challenge Level: Challenge Level:1

Knowing two of the equations find the equations of the 12 graphs of cubic functions making this pattern.

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Ellipses

Stage: 4 and 5 Challenge Level: Challenge Level:1

Here is a pattern for you to experiment with using graph drawing software. Find the equations of the graphs in the pattern.

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Climbing

Stage: 5 Challenge Level: Challenge Level:1

Sketch the graphs of y = sin x and y = tan x and some straight lines. Prove some inequalities.

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Weekly Challenge 43: A Close Match

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you massage the parameters of these curves to make them match as closely as possible?

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Pitchfork

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Plot the graph of x^y = y^x in the first quadrant and explain its properties.

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Quartics

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Investigate the graphs of y = [1 + (x - t)^2][1 + (x + t^)2] as the parameter t varies.


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