# Resources tagged with: Graph sketching

### There are 15 results

Broad Topics >

Coordinates, Functions and Graphs > Graph sketching

##### 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.

##### Age 14 to 18 Challenge Level:

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

##### Age 14 to 16 Challenge Level:

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

##### 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.

##### Age 14 to 16 Challenge Level:

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

##### Age 11 to 14 Challenge Level:

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

##### Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons,
and explore how the different positions of the red dot affects its
vertical and horizontal movement at each stage.

##### Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

##### Age 14 to 16 Challenge Level:

What biological growth processes can you fit to these graphs?

##### Age 14 to 16 Challenge Level:

Can you draw the height-time chart as this complicated vessel fills
with water?

##### Age 14 to 16 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?

##### Age 14 to 16 Challenge Level:

Various solids are lowered into a beaker of water. How does the
water level rise in each case?

##### Age 14 to 16 Challenge Level:

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

##### Age 11 to 14 Challenge Level:

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

##### Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons,
and explore how the different positions of the red dot affects its
speed at each stage.