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Resources tagged with Graph sketching similar to Quartics:

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Broad Topics > Sequences, Functions and Graphs > Graph sketching

Quartics

Stage: 5 Challenge Level:

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

Pitchfork

Stage: 5 Challenge Level:

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

Weekly Challenge 43: A Close Match

Stage: 5 Challenge Level:

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

Bio Graphs

Stage: 4 Challenge Level:

What biological growth processes can you fit to these graphs?

Guess the Function

Stage: 5 Challenge Level:

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

Curve Match

Stage: 5 Challenge Level:

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

Curve Fitter

Stage: 5 Challenge Level:

Can you fit a cubic equation to this graph?

Sine Problem

Stage: 5 Challenge Level:

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.

Rational Request

Stage: 5 Challenge Level:

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

Area L

Stage: 5 Challenge Level:

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

Maltese Cross

Stage: 5 Challenge Level:

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.

Tangled Trig Graphs

Stage: 5 Challenge Level:

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

Witch of Agnesi

Stage: 5 Challenge Level:

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

Stage: 5 Challenge Level:

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

Cocked Hat

Stage: 5 Challenge Level:

Sketch the graphs for this implicitly defined family of functions.

Folium of Descartes

Stage: 5 Challenge Level:

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

Slide

Stage: 5 Challenge Level:

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.

Curvy Catalogue

Stage: 5 Challenge Level:

Make a catalogue of curves with various properties.

Back Fitter

Stage: 4 Challenge Level:

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?

Polar Flower

Stage: 5 Challenge Level:

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

What's That Graph?

Stage: 4 Challenge Level:

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

Scientific Curves

Stage: 5 Challenge Level:

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

Motion Capture

Stage: 3 and 4 Challenge Level:

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

Ideal Axes

Stage: 5 Challenge Level:

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

Whose Line Graph Is it Anyway?

Stage: 5 Challenge Level:

Which line graph, equations and physical processes go together?

Reaction Types

Stage: 5 Challenge Level:

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