Algebra 1 - Graphing Quadratic Functions

ID: 1

Algebra 1

Name___________________________________

Graphing Quadratic Functions

Date________________ Period____

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Sketch the graph of each function. Identify the axis of symmetry and the vertex. 1) y = −2 x 2 − 8 x − 11

1 2) y = − x 2 − 4 x − 6 2

−7 −6 −5 −4 −3 −2 −1 0

1

2

3

4

5 5

−2

4

−3 −4

3

−5

2

−6 −7

1

−8 −9

−6

−10

−5

−4

−3

−2

−1

0

1

−1

−11

−2

−12

−3

3) y = x 2 − 2 x + 4

4) y = − x 2 + 2 x − 3

8

−2

7

−1

0

1

2

3

4

−1

6

−2

5

−3

4 −4

3

−5

2

−6

1 −2

−1

0

1

2

3

4

5

−7

6

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Worksheet by Kuta Software LLC

Sketch the graph of each function. Identify the vertex and tell whether there is a minimum or maximum value. 6) y = − x 2 + 2 x + 2

1 5) y = x 2 + 4 x + 12 2

4 7

3

6 2 5 1

4 3

−7

−6

−5

−4

−3

−2

−1

−2

−1

1

−2

−2

2

3

4

8) y = x 2 − 6 x + 13 9 8

1

−3

1

0

2

−4

0

2

7) y = − x 2 − 4 x − 3

−5

−1

−1

0

7 6

1

5

−1

4

−2

3 2

−3

1

−4

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−1

-2-

0

1

2

3

4

5

6

7

Worksheet by Kuta Software LLC

Answers to Graphing Quadratic Functions (ID: 1) 1)

2) −8

−6

−4

3) 5

8

4

7

3

6

2

5

−6

1

4

−8

−6 −5 −4 −3 −2 −1 0

−2 0 −2

2

−4

−10

3

1

2

−2

−12

1

−3

4)

−3 −2 −1 0

5) −3 −2 −1 0 −1

1

2

7

4

6

3

−2

5

−3

4

−4

3

−5

2

−6

1 −6 −5 −4 −3 −2 −1 0

7)

2

3

4

5

6)

3

−7

1

2 1 −1 0 −1 1

1

2

3

4

5

−2

8) 2 8

1 −5

−4

−3

−2

−1 0 −1

6

1

4

−2 2

−3 −4

−2 −1 0

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1 2 3 4 5 6

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Worksheet by Kuta Software LLC