# A* level Maths work

This Powerpointpresentation is about shifting and shinking graphs. It represents A* work at GCSE.

- Created by: waqaar
- Created on: 10-05-08 11:13

## 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

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## Similar Mathematics resources:

# A* level Maths work

This Powerpointpresentation is about shifting and shinking graphs. It represents A* work at GCSE.

- Created by: waqaar
- Created on: 10-05-08 11:13

## 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

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## Similar Mathematics resources:

## Related discussions on The Student Room

- Any advice from people who have sat A-level maths in year 12 »
- how hard is alevel maths only year 12 students cos new ... »
- University of York Applicants - 2018 Entry »
- Road to Veterinary Medicine - AS Level »
- How to choose your A-level subjects! *Including links to ... »
- A levels for an architecture degree? MONSTERTHREAD »
- Maizie's Summer GYG »
- Read This First - All About BTEC »
- A level chemistry or art? »
- I need help deciding my A Level courses for next year, I am ... »

## Comments

No comments have yet been made