Resources tagged with: Graphing software and graphical calculators

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Broad Topics > Physical and Digital Manipulatives > Graphing software and graphical calculators

Quartics

Age 16 to 18
Challenge Level

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

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.

Pitchfork

Age 16 to 18
Challenge Level

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

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.

A Close Match

Age 16 to 18
Challenge Level

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

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?

Climbing

Age 16 to 18
Challenge Level

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

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.

Limiting Probabilities

Age 16 to 18
Challenge Level

Given probabilities of taking paths in a graph from each node, use matrix multiplication to find the probability of going from one vertex to another in 2 stages, or 3, or 4 or even 100.