4-3 Hyperbolas

• Wiskunde
• Middelbare school
• havo
• Leerjaar 3

Hyperbolas

(p. 108)

What you need:

- Textbook, writingbook, iPad

- Pen, pencil, geotriangle

- Calculator

Schoolbags in the cuboard

Phones in the phonebag

Bluetooth 

- ON

- VPN off

Lesson goal

Identify if a graph is a hyperbola.

Answer simple questions on hyperbolic funtions.

Up to now:

1 - Linear formulas

2 - Directly and inversely proportional

3 - Hyperbolas

A hyperbola

This is a fractional formula, and the graph is a hyperbola.

A hyperbola consists of two branches.

This fractional formula only has a result if x is not equal to -2.

-2 is the vertical asymptote. 0 is the horizontal asymptote.

y=​x+2​​8​​

When the horizontal asymptote is moved...

.

the horizontal asymptote is 3.

y=3+​x​​5​​

IA

20a
For what value of x does A have no result?

1. -2
2. 4
3. 2
4. -4

20b
What happens to the results of formula A when x is very large?

1. approach 0
2. approach 1
3. approach 2
4. approach 4

20c
Formula of the horizontal and vertical asymptote

1. y= -2; x= -4
2. y=2; x= -4
3. y= -2; x=4
4. y=2; x=4

20d
For which value of x does B have no result?

1. -2
2. 4
3. 2
4. -4

20d
What happens to the result of formula B when x is very large?

1. approach -2
2. approach 0
3. approach 2
4. approach 4

20d
For graph B give the formula of the horizontal and the vertical asymptote.

1. y= -2; x= -2
2. y= -2; x=2
3. y=2; x= -2
4. y=2; x=2

Classwork/ Homework

Make 18, 19 and 16 (p. 109)