5.2 and 5.3

How do we call this kind
of graphs?
1 / 11
suivant
Slide 1: Question ouverte
WiskundeMiddelbare schoolvwoLeerjaar 3

Cette leçon contient 11 diapositives, avec quiz interactifs et diapositives de texte.

time-iconLa durée de la leçon est: 45 min

Éléments de cette leçon

How do we call this kind
of graphs?

Slide 1 - Question ouverte

Do you remember the three words which belong to these kind of graphs.

Slide 2 - Carte mentale

Moving vertically
-> a fixed number is added to/subtracted from all the function values.

Slide 3 - Diapositive

Moving vertically
  • In a table: add or subtract the fixed number to all the outcomes (y)
  • In a formula: add or subtract the fixed number to the formula
  • In a graph: the graph will move up or down, the shape won't change.

Slide 4 - Diapositive

y = -x² + 5x - 6
y = ½x + 1
y = -x² + 5x - 9
y = 2x² + 8x + 4½
y = ½x + 2½
y = 2x² + 8x + 2½

Slide 5 - Question de remorquage

Stretched parallel to the y-axis
-> all the function values are multiplied by the same factor.

Slide 6 - Diapositive

Slide 7 - Diapositive

Stretched parallel to the y-axis
  • In a table: multiply all the outcomes (y) with the same factor
  • In a formula: multiply the whole formula with the same factor
  • In a graph: the graph will stretch vertically. The points of intersection of the graph with the x-axis do not change!

Slide 8 - Diapositive

The graph of f is stretched
parallel to the y-axis by a
factor of 2.
What is the new formula?
f(x)=x2+4x2
A
g(x) = -x² + 4x
B
g(x) = -2x² + 8x - 4
C
g(x) = -2x² + 4x - 2
D
g(x) = -2x² + 8x - 2

Slide 9 - Quiz

This blue graph is stretched parallel
to the y-axis. The result is the red graph.
Vertex was (-2 , -10) and is now (-2 , -5).
Can you tell what the factor is?

A
0.5
B
2
C
5
D
-5

Slide 10 - Quiz

Homework 
do ex. 15, 16, 17, 18, 19
(or 15, 16, 18, 19, C3)
of chapter 5

Slide 11 - Diapositive