There are **11** NRICH Mathematical resources connected to **Graphing software and graphical calculators**, you may find related items under Physical and Digital Manipulatives.

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.

Challenge Level

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

Challenge Level

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

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.

Challenge Level

Can you find sets of sloping lines that enclose a square?

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

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.

Challenge Level

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