Functions and Graphs Stage 4 - Short Problems


This is part of our collection of Short Problems.

You may also be interested in our longer problems on Functions and Graphs - Stage 4.

Functions and Graphs Stage 4 - Short Problems

KS 4

A collection of short Stage 4 problems on graphs of functions.

Functions and Graphs Stage 4 - Short Problems

KS 4

A collection of short Stage 4 problems on graphs of functions.

What's That Graph?

KS 4 Challenge Level:

Challenge Level:1

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

Back Fitter

KS 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?

Exploring Quadratic Mappings

KS 4 Challenge Level:

Challenge Level:1

Explore the relationship between quadratic functions and their graphs.

Steady Free Fall

KS 4 Challenge Level:

Challenge Level:2 Challenge Level:2

Can you adjust the curve so the bead drops with near constant vertical velocity?

Parabolic Patterns

KS 4 & 5 Challenge Level:

Challenge Level:1

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.

Cubics

KS 4 & 5 Challenge Level:

Challenge Level:1

Knowing two of the equations find the equations of the 12 graphs of cubic functions making this pattern.

Tangled Trig Graphs

KS 5 Challenge Level:

Challenge Level:1

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