2-4 The shape of a parabola

• Wiskunde
• Middelbare school
• havo
• Leerjaar 3

2-4 The shape of a parabola

(p42)

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• Determine the factor when there is exponential growth.
• Determine the formula if you have the table for exponential growth between two variables.

• Identify the shape of a parabola based on the number in front of the x2 (or the a value), and c value

IA

27a

1. up, narrower
2. up, wider
3. down, narrower
4. down, wider

27b

1. up, narrower
2. up, wider
3. down, narrower
4. down, wider

27c

1. up, narrower
2. up, wider
3. down, narrower
4. down, wider

27d

1. up, narrower
2. up, wider
3. down, narrower
4. down, wider

27e

1. up, narrower or same
2. up, wider or same
3. down, narrower or same
4. down, wider or same

27f

1. up, narrower
2. up, wider
3. down, narrower
4. down, wider

Solution Q27

Solution Q28

29a

1. 1
2. 3
3. 5
4. 2

29b

1. 4
2. 3
3. 2
4. 5

29c

1. 3
2. 5
3. 4
4. 2

29d

1. 1
2. 3
3. 5
4. 2

29e

1. 5
2. 2
3. 6
4. 4

29f

1. 4
2. 1
3. 5
4. 6

Solution Q 29

Conclusion:

- If the numer in front of the a is positive, it is an upward opening graph, and if it is negative it is a downward opening graph.

- The greater the value of a, the 

    steeper/ narrower the parabola

- The c value of the graph indicates the y intercept

y=ax​2​​+bx+c

Try on your own

1, 2, 5 and 7

TRY ON YOUR OWN

30 (p. 43)

RULES:

• In your writingbook
• Use: Textbook
• Discussion when you are stuck is allowed

Extra excercise:  (p. 54)

Challenge:  (p. 56)