# 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.

### Back Fitter

##### KS 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?

##### KS 4 Challenge Level:

Explore the relationship between quadratic functions and their graphs.

### What's That Graph?

##### KS 4 Challenge Level:

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

##### KS 4 Challenge Level:

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

### Parabolic Patterns

##### KS 4 & 5 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.

### Cubics

##### KS 4 & 5 Challenge Level:

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:

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