3Tvwo § 5.4 COMBINATIONS

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 3

§ 5.4 Combinations

is today's content.

However, we shortly look back at the previous § -s.

§ 5.2 Moving vertically

In § 5.2 you have learnt to move a graph up, 

vertically.

Here you see an example of this.

In § 5.3 you have learnt how to multiply a graph. Watch this example:

What is the big difference between
a. moving vertically and
b. multiplying ?

1. a. gives another shape b. does not
2. In fact it comes down to the same thing.
3. At a. the graph may go to right or left; not at b.
4. a. keeps the same shape of the graph b. the shape of the graph changes

Now it is time for combining both activities in:

§ 5.4 COMBINATIONS 

Do: exercise 20 and 21

In 5 minutes we will check 20 together.

Where making them?

In your Workbook and Notebook!

Forgotten your Workbook?

Then copy the graphs in your Notebook and do the tasks!

Question about 20b:
Graph h, the 2nd one that you drew in exercise 20,
is ........................... than graph f.

1. narrower and lower
2. wider and lower
3. wider and higher
4. narrower and higher

We

STUDY SQUAREis OPEN!

In class we move on, a bit,

with this 

LESSONUP.

Statement:
If you change the order of Moving vertically and Multiplying, this will give the same result!

1. True.
2. I have no clue.
3. Not true.
4. Impossible to say.

Why would it make any difference?

Let us watch 2 examples!

1st:    - 2, 

2nd:  x 1/2

1st:    x 1/2

2nd:  - 2

Do you notice 

the differences?  

The final graph of example 2 is ...........

1. just the same as the final graph in example 1
2. 1 lower than the final graph in example 1
3. 1 higher than the final graph in example 1
4. exactly the same shape as the final graph in example 1

You can see it better with both pictures in the same slide!

Now you  

see the difference:

The final graphs, h(x) 

and j(x),

are the same, but 

 in different places!

Time for a Joke?

Ask your teacher!

Now do exercise 22, etcetera.

ATTENTION:

Something misses out in this exercises.

Please add -with pencil only!!- after:

'parallel to the y-axis' :

by 1/2

Want a help, drawing the graphs, at 22a ?

If so, 

watch this!

22 c 

and d

In the next 

slide you see 

all graphs 

together!

one more joke?

let's have it!

Go on now, with § 5.4

Explanation about p.172:

A handy DIAGRAM is introduced,

to find the resulting Formula, 

after doing some 

Moving and Multiplying. Just watch the next slide!

HANDY DIAGRAM:

Use this DIAGRAM-method also for 25, 26 and 27!

Finish § 5.4

Do not forget to check your answers with the

SOLUTIONSBOOK!

What did you learn in this lesson?