# transformation slideshow

Powerpoint on transformation for GCSE maths.

Teacher recommended

- Created by: bilal
- Created on: 13-05-08 12:40

## Slides in this set

### Slide 1

Transforming graphs of functions

Graphs can be transformed by shifting & stretching them.

The equation of the transformed graph will be related to the

equation of the original graph.

When investigating transformations it is most useful to express

functions using function notation.

For example, suppose we wish to investigate transformations

of the function f(x) = x2.

The equation of the graph of y = x2, can be written as y = f(x).…read more

### Slide 2

Vertical translations

Here is the graph of y = x2, where y = f(x).

y This is the graph of y = f(x) + 1

and this is the graph of y = f(x) + 4.

The graph of y = f(x) + a is the graph

of y = f(x) translated by the vector 0 .

a

x

This is the graph of y = f(x) 3

and this is the graph of y = f(x) 7.

The graph of y = f(x) - a is the graph of

y = f(x) translated by the vector 0

.

-a…read more

### Slide 3

Horizontal translations

Here is the graph of y = x2 3, where y = f(x).

y This is the graph of y = f(x 1),

and this is the graph of y = f(x 4).

The graph of y = f(x + a ) is the graph

of y = f(x) translated by the vector a .

0

x

This is the graph of y = f(x + 2),

and this is the graph of y = f(x + 3).

The graph of y = f(x - a ) is the graph

of y = f(x) translated by the vector +a .

0…read more

### Slide 4

Reflections in the x-axis

Here is the graph of y = x2 2x 2, where y = f(x).

y

This is the graph of y = f(x).

The graph of y = f(x) is the graph of

x

y = f(x) reflected in the x-axis.…read more

### Slide 5

Reflections in the y-axis

Here is the graph of y = x3 + 4x2 3 where y = f(x).

y

This is the graph of y = f(x).

The graph of y = f(x) is the graph of

x y = f(x) reflected in the y-axis.…read more

### Slide 6

Stretches in the y-direction

30 y = f(x)

y co-ordinates

tripled

3f(x)

20

2f(x) y co-ordinates

doubled

10 f(x)

x

-6 -4 -2 0 2 4 6 8

0

Points located on the

The graph of kf -10

x axis remain fixed.

(x) gives a

stretch of f(x) by

scale factor k in -20

the y direction. kf(x)

-30…read more

### Slide 7

### Slide 8

### Slide 9

## Related discussions on The Student Room

- TSR Med Students' Society Part VI »
- The Anime Society Thread 6 »
- TSR Bollywood Society »
- Do you think soldiers are overrated? »
- STIs and Smear tests - information and questions »
- The Somali Society Mk III »
- TSR Bollywood Society »
- Last Person To Post Here Wins (Part 29) »
- STIs and Smear tests - information and questions »
- OCR A2 History: Russia and its Rulers 1855-1964 discussion ... »

## Similar Mathematics resources:

# transformation slideshow

Powerpoint on transformation for GCSE maths.

Teacher recommended

- Created by: bilal
- Created on: 13-05-08 12:40

## Slides in this set

### Slide 1

Transforming graphs of functions

Graphs can be transformed by shifting & stretching them.

The equation of the transformed graph will be related to the

equation of the original graph.

When investigating transformations it is most useful to express

functions using function notation.

For example, suppose we wish to investigate transformations

of the function f(x) = x2.

The equation of the graph of y = x2, can be written as y = f(x).…read more

### Slide 2

Vertical translations

Here is the graph of y = x2, where y = f(x).

y This is the graph of y = f(x) + 1

and this is the graph of y = f(x) + 4.

The graph of y = f(x) + a is the graph

of y = f(x) translated by the vector 0 .

a

x

This is the graph of y = f(x) 3

and this is the graph of y = f(x) 7.

The graph of y = f(x) - a is the graph of

y = f(x) translated by the vector 0

.

-a…read more

### Slide 3

Horizontal translations

Here is the graph of y = x2 3, where y = f(x).

y This is the graph of y = f(x 1),

and this is the graph of y = f(x 4).

The graph of y = f(x + a ) is the graph

of y = f(x) translated by the vector a .

0

x

This is the graph of y = f(x + 2),

and this is the graph of y = f(x + 3).

The graph of y = f(x - a ) is the graph

of y = f(x) translated by the vector +a .

0…read more

### Slide 4

Reflections in the x-axis

Here is the graph of y = x2 2x 2, where y = f(x).

y

This is the graph of y = f(x).

The graph of y = f(x) is the graph of

x

y = f(x) reflected in the x-axis.…read more

### Slide 5

Reflections in the y-axis

Here is the graph of y = x3 + 4x2 3 where y = f(x).

y

This is the graph of y = f(x).

The graph of y = f(x) is the graph of

x y = f(x) reflected in the y-axis.…read more

### Slide 6

Stretches in the y-direction

30 y = f(x)

y co-ordinates

tripled

3f(x)

20

2f(x) y co-ordinates

doubled

10 f(x)

x

-6 -4 -2 0 2 4 6 8

0

Points located on the

The graph of kf -10

x axis remain fixed.

(x) gives a

stretch of f(x) by

scale factor k in -20

the y direction. kf(x)

-30…read more

### Slide 7

### Slide 8

### Slide 9

## Comments

## Similar Mathematics resources:

## Related discussions on The Student Room

- TSR Med Students' Society Part VI »
- The Anime Society Thread 6 »
- TSR Bollywood Society »
- Do you think soldiers are overrated? »
- STIs and Smear tests - information and questions »
- The Somali Society Mk III »
- TSR Bollywood Society »
- Last Person To Post Here Wins (Part 29) »
- STIs and Smear tests - information and questions »
- OCR A2 History: Russia and its Rulers 1855-1964 discussion ... »

## Comments

Report