Exercises: Drawing and comparing graphs

Zeichne den Graphen der folgenden quadratischen Funktion. Lege dazu eine Wertetabelle an.

$f (x) = x^{2} + 4 x - 5$

For this task you need the following basic knowledge: Zeichnen einer Parabel
$f (x) = x^{2} + 4 x - 5$
Wertetabelle
$x$
-6
-5
-4
-3
-2
-1
0
1
2
3
$f (x)$
7
0
-5
-8
-9
-8
-5
0
7
16
$f (x) = x^{2} + 2 x + 5$

For this task you need the following basic knowledge: Zeichnen einer Parabel
$f (x) = x^{2} + 2 x + 5$
Wertetabelle
$x$
-4
-3
-2
-1
0
1
2
3
$f (x)$
13
8
5
4
5
8
13
20
$f (x) = - x^{2} + x + 6$

For this task you need the following basic knowledge: Zeichnen einer Parabel
$f (x) = - x^{2} + x + 6$
Wertetabelle
$x$
-3
-2
-1
0
1
2
3
4
$f (x)$
-6
0
4
6
6
4
0
-6
$f (x) = x^{2} - x$

For this task you need the following basic knowledge: Zeichnen einer Parabel
$f (x) = x^{2} - x$
Wertetabelle
$x$
-3
-2
-1
0
1
2
3
4
$f (x)$
12
6
2
0
0
2
6
12
$f (x) = x^{2} - \frac{1}{9}$

For this task you need the following basic knowledge: Zeichnen einer Parabel
$f (x) = x^{2} - \frac{1}{9}$
Wertetabelle
$x$
-3
-2
-1
0
1
2
3
4
$f (x)$
8,9
3,9
0,9
-0,1
0,9
3,9
8,9
15,9
$f (x) = \frac{1}{2} x^{2} + 2 x + 3$

$f (x) = \frac{1}{2} x^{2} + 2 x + 3$
Wertetabelle
$x$
-6
-5
-4
-3
-2
-1
0
1
2
3
$f (x)$
9
5,5
3
1,5
1
1,5
3
5,5
9
13,5
$f (x) = - \frac{1}{3} x^{2} + \frac{2}{3} x + \frac{5}{3}$

For this task you need the following basic knowledge: Zeichnen einer Parabel
$f (x) = - \frac{1}{3} x^{2} + \frac{2}{3} x + \frac{5}{3}$
Wertetabelle
$x$
-4
-3
-2
-1
0
1
2
3
4
5
$f (x)$
-6,3
-3,3
-1
0,7
1,7
2
1,7
0,7
-1
-3,3
$f (x) = - 2 x^{2} + 8 x - 11$

$f (x) = - 2 x^{2} + 8 x - 11$
Wertetabelle
$x$
-1
0
1
2
3
4
5
6
$f (x)$
-21
-11
-5
-3
-5
-11
-21
-35
$f (x) = 3 x^{2} - 3 x$

For this task you need the following basic knowledge: Zeichnen einer Parabel
$f (x) = 3 x^{2} - 3 x$
Wertetabelle
$x$
-3
-2
-1
0
1
2
3
4
$f (x)$
36
18
6
0
0
6
18
36
$f (x) = \frac{1}{4} x^{2} + \frac{11}{2} x + 10$

For this task you need the following basic knowledge: Zeichnen einer Parabel
$f (x) = \frac{1}{4} x^{2} + \frac{11}{2} x + 10$
Wertetabelle
$x$
-24
-20
-16
-12
-8
-4
0
4
$f (x)$
22
0
-14
-20
-18
-8
10
36

$x$	-6	-5	-4	-3	-2	-1	0	1	2	3
$f (x)$	7	0	-5	-8	-9	-8	-5	0	7	16

$x$	-4	-3	-2	-1	0	1	2	3
$f (x)$	13	8	5	4	5	8	13	20

$x$	-3	-2	-1	0	1	2	3	4
$f (x)$	-6	0	4	6	6	4	0	-6

$x$	-3	-2	-1	0	1	2	3	4
$f (x)$	12	6	2	0	0	2	6	12

$x$	-3	-2	-1	0	1	2	3	4
$f (x)$	8,9	3,9	0,9	-0,1	0,9	3,9	8,9	15,9

$x$	-6	-5	-4	-3	-2	-1	0	1	2	3
$f (x)$	9	5,5	3	1,5	1	1,5	3	5,5	9	13,5

$x$	-4	-3	-2	-1	0	1	2	3	4	5
$f (x)$	-6,3	-3,3	-1	0,7	1,7	2	1,7	0,7	-1	-3,3

$x$	-1	0	1	2	3	4	5	6
$f (x)$	-21	-11	-5	-3	-5	-11	-21	-35

$x$	-3	-2	-1	0	1	2	3	4
$f (x)$	36	18	6	0	0	6	18	36

$x$	-24	-20	-16	-12	-8	-4	0	4
$f (x)$	22	0	-14	-20	-18	-8	10	36

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