Search by Topic

Resources tagged with Graph sketching similar to Witch of Agnesi:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 27 results

Broad Topics > Sequences, Functions and Graphs > Graph sketching

problem icon

Witch of Agnesi

Stage: 5 Challenge Level: Challenge Level:1

Sketch the members of the family of graphs given by y = a^3/(x^2+a^2) for a=1, 2 and 3.

problem icon

Folium of Descartes

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

Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.

problem icon

Maltese Cross

Stage: 5 Challenge Level: Challenge Level:1

Sketch the graph of $xy(x^2 - y^2) = x^2 + y^2$ consisting of four curves and a single point at the origin. Convert to polar form. Describe the symmetries of the graph.

problem icon

Rational Request

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

Can you make a curve to match my friend's requirements?

problem icon

Area L

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

Draw the graph of a continuous increasing function in the first quadrant and horizontal and vertical lines through two points. The areas in your sketch lead to a useful formula for finding integrals.

problem icon

Sketching Families of Graphs

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

In this trail, a new type of NRICH resource, learn about transformations of graphs. Given patterns made from families of graphs find all the equations in the family.

problem icon

Curvy Catalogue

Stage: 5 Challenge Level: Challenge Level:1

Make a catalogue of curves with various properties.

problem icon

Scientific Curves

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

Can you sketch these difficult curves, which have uses in mathematical modelling?

problem icon

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.

problem icon

Slide

Stage: 5 Challenge Level: Challenge Level:1

This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.

problem icon

Tangled Trig Graphs

Stage: 5 Challenge Level: Challenge Level:1

Can you work out the equations of the trig graphs I used to make my pattern?

problem icon

Curve Match

Stage: 5 Challenge Level: Challenge Level:1

Which curve is which, and how would you plan a route to pass between them?

problem icon

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?

problem icon

Guess the Function

Stage: 5 Challenge Level: Challenge Level:1

This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.

problem icon

Curve Fitter

Stage: 5 Challenge Level: Challenge Level:1

Can you fit a cubic equation to this graph?

problem icon

Cocked Hat

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

Sketch the graphs for this implicitly defined family of functions.

problem icon

How Does Your Function Grow?

Stage: 5 Challenge Level: Challenge Level:1

Compares the size of functions f(n) for large values of n.

problem icon

Bio Graphs

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

What biological growth processes can you fit to these graphs?

problem icon

Sine Problem

Stage: 5 Challenge Level: Challenge Level:1

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.

problem icon

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.

problem icon

Back Fitter

Stage: 4 Challenge Level: Challenge Level:1

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

problem icon

Polar Flower

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

This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.

problem icon

What's That Graph?

Stage: 4 Challenge Level: Challenge Level:1

Can you work out which processes are represented by the graphs?

problem icon

Reaction Types

Stage: 5 Challenge Level: Challenge Level:1

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

problem icon

Motion Capture

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Explore displacement/time and velocity/time graphs with this mouse motion sensor.

problem icon

Whose Line Graph Is it Anyway?

Stage: 5 Challenge Level: Challenge Level:1

Which line graph, equations and physical processes go together?

problem icon

Ideal Axes

Stage: 5 Challenge Level: Challenge Level:1

Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging