Free Printable Graphing Quadratic Functions with Transformations

1.

Graph #1

$f\left(x\right)=x^2+5$

2.

Transformation(s) of #1

$f\left(x\right)=x^2+5$

4 lines

3.

Domain of #1

$f\left(x\right)=x^2+5$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

0

5

-4

4

4.

Range of #1

$f\left(x\right)=x^2+5$

(a) (b) , (c) (d)

Choose from the below words

(

$\infty$

)

[

]

0

5

-4

4

-\infty

5.

Graph #2

$f\left(x\right)=-x^2+5$

6.

Transformation(s) of #2

$f\left(x\right)=-x^2+5$

4 lines

7.

Domain of #2

$f\left(x\right)=x^2+5$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

0

5

-4

4

8.

Range of #2

$f\left(x\right)=-x^2+5$

(a) (b) , (c) (d)

Choose from the below words

(

$5$

)

[

]

0

\infty

-4

4

-\infty

9.

Graph of #3

$f\left(x\right)=\left(x-5\right)^2$

10.

Transformation(s) of #3

$f\left(x\right)=\left(x-5\right)^2$

4 lines

11.

Domain of #3

$f\left(x\right)=\left(x-5\right)^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

5

0

[

]

-5

1

12.

Range of #3

$f\left(x\right)=\left(x-5\right)^2$

(a) (b) , (c) (d)

Choose from the below words

(

$\infty$

)

5

0

[

]

-5

1

-\infty

13.

Graph #4

$f\left(x\right)=\left(2x\right)^2$

14.

Transformation(s) of #4

$f\left(x\right)=\left(2x\right)^2$

4 lines

15.

Domain of #4

$f\left(x\right)=\left(2x\right)^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

-2

2

0

16.

Range of #4

$f\left(x\right)=\left(2x\right)^2$

(a) (b) , (c) (d)

Choose from the below words

(

$\infty$

)

[

]

-2

2

0

4

-1

17.

Graph #5

$f\left(x\right)=\left(x+5\right)^2$

18.

Transformation(s) of #5

$f\left(x\right)=\left(x+5\right)^2$

4 lines

19.

Domain of #5

$f\left(x\right)=\left(x+5\right)^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

-5

5

0

20.

Range of #5

$f\left(x\right)=\left(x+5\right)^2$

(a) (b) , (c) (d)

Choose from the below words

(

$\infty$

)

[

]

-5

5

0

1

-\infty

21.

Graph #6

$f\left(x\right)=2x^2$

22.

Transformation(s) of #6

$f\left(x\right)=2x^2$

4 lines

23.

Domain of #6

$f\left(x\right)=2x^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

-2

2

0

24.

Range of #6

$f\left(x\right)=2x^2$

(a) (b) , (c) (d)

Choose from the below words

(

$\infty$

)

[

]

-2

2

0

-1

-\infty

25.

Graph #7

$f\left(x\right)=-\left(\frac{1}{2}\right)x^2$

26.

Axis of Symmetry for #7

$f\left(x\right)=-\left(\frac{1}{2}\right)x^2$

27.

Transformation(s) of #7

$f\left(x\right)=-\left(\frac{1}{2}\right)x^2$

4 lines

28.

Domain of #7

$f\left(x\right)=-\left(\frac{1}{2}\right)x^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

-2

2

0

29.

Range of #7

$f\left(x\right)=-\left(\frac{1}{2}\right)x^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

)

[

]

-2

2

0

\infty

30.

Graph #8

$f\left(x\right)=3-\left(x-4\right)^2$

31.

Axis of Symmetry for #8

$f\left(x\right)=3-\left(x-4\right)^2$

32.

Transformations of #8

$f\left(x\right)=3-\left(x-4\right)^2$

4 lines

33.

Domain of #8

$f\left(x\right)=3-\left(x-4\right)^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

4

3

0

34.

Range of #8

$f\left(x\right)=3-\left(x-4\right)^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

)

[

]

4

3

0

\infty

35.

Graph #9

$f\left(x\right)=\frac{1}{2}\left(x+4\right)^2-2$

36.

Axis of Symmetry for #9

$f\left(x\right)=\frac{1}{2}\left(x+4\right)^2-2$

37.

Transformation(s) of #9

$f\left(x\right)=\frac{1}{2}\left(x+4\right)^2-2$

4 lines

38.

Domain of #9

$f\left(x\right)=\frac{1}{2}\left(x+4\right)^2-2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

-4

-2

-6

6

39.

Range of #9

$f\left(x\right)=\frac{1}{2}\left(x+4\right)^2-2$

(a) (b) , (c) (d)

Choose from the below words

(

$\infty$

)

[

]

-4

-2

-6

0

-\infty

40.

Graph #10

$f\left(x\right)=4\left(2x+2\right)^2-1$

41.

Transformation(s) of #10

$f\left(x\right)=4\left(2x+2\right)^2-1$

4 lines

42.

Axis of Symmetry for #10

$f\left(x\right)=4\left(2x+2\right)^2-1$

43.

Domain of #10

$f\left(x\right)=4\left(2x+2\right)^2-1$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

-1

4

2

-2

44.

Range of #10

$f\left(x\right)=4\left(2x+2\right)^2-1$

(a) (b) , (c) (d)

Choose from the below words

(

$\infty$

)

[

]

-1

4

2

-2

-\infty

45.

Graph #11

$f\left(x\right)=-\frac{1}{4}x^2$

46.

Transformation(s) of #11

$f\left(x\right)=-\frac{1}{4}x^2$

4 lines

47.

Axis of Symmetry for #11

$f\left(x\right)=-\frac{1}{4}x^2$

48.

Domain of #11

$f\left(x\right)=-\frac{1}{4}x^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

-1

1

2

-2

49.

Range of #11

$f\left(x\right)=-\frac{1}{4}x^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

)

[

]

-1

1

2

\infty

0

50.

Graph #12

$f\left(x\right)=5x^2$

51.

Transformation(s) of #12

$f\left(x\right)=5x^2$

4 lines

52.

Transformation(s) of #12

$f\left(x\right)=5x^2$

53.

Domain of #12

$f\left(x\right)=5x^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

5

-5

-1

1

54.

Range of #12

$f\left(x\right)=5x^2$

(a) (b) , (c) (d)

Choose from the below words

$\infty$

)

[

]

5

-5

-1

1

0

-\infty

55.

Range of #12

$f\left(x\right)=5x^2$

(a) (b) , (c) (d)

Choose from the below words

(

$\infty$

)

[

]

5

-5

-1

-\infty

0

56.

Graph #13

$f\left(x\right)=\frac{1}{4}\left(x+3\right)^2-1$

57.

Transformation(s) of #13

$f\left(x\right)=\frac{1}{4}\left(x+3\right)^2-1$

4 lines

58.

Axis of Symmetry for #13

$f\left(x\right)=\frac{1}{4}\left(x+3\right)^2-1$

59.

Domain of #13

$f\left(x\right)=\frac{1}{4}\left(x+3\right)^2-1$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

-3

3

-1

1

60.

Range of #13

$f\left(x\right)=\frac{1}{4}\left(x+3\right)^2-1$

(a) (b) , (c) (d)

Choose from the below words

(

$\infty$

)

[

]

-3

3

-1

1

-\infty

61.

Graph of #14

$f\left(x\right)=4-\left(x-2\right)^2$

62.

Transformations of #14

$f\left(x\right)=4-\left(x-2\right)^2$

4 lines

63.

Axis of Symmetry for #14

$f\left(x\right)=4-\left(x-2\right)^2$

64.

Domain of #14

$f\left(x\right)=4-\left(x-2\right)^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

-4

4

2

-2

65.

Range of #14

$f\left(x\right)=4-\left(x-2\right)^2$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

)

[

]

-4

\infty

2

-2

4

66.

Graph of #15

$f\left(x\right)=3\left(2x+2\right)^2-4$

67.

Transformation(s) of #15

$f\left(x\right)=3\left(2x+2\right)^2-4$

4 lines

68.

Axis of Symmetry for #15

$f\left(x\right)=3\left(2x+2\right)^2-4$

69.

Domain of #15

$f\left(x\right)=3\left(2x+2\right)^2-4$

(a) (b) , (c) (d)

Choose from the below words

(

$-\infty$

$\infty$

)

[

]

-1

1

2

-2

70.

Range of #15

$f\left(x\right)=3\left(2x+2\right)^2-4$

(a) (b) , (c) (d)

Choose from the below words

(

$\infty$

)

[

]

-1

1

2

-4

-\infty

Graphing Quadratic Functions with Transformations

Total questions: 70

Worksheet time: 4hrs 30mins

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