Quadratics Converting Vertex Form to Standard Form

Math 2 Support

ID: 1

Name___________________________________

Converting Quadratics: Vertex Form to Standard Form

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Sketch the graph of each function.

Date________________

1) y = (x - 2)2 + 3

2) y = (x + 1)2 - 3

3) y = -(x + 3)2 - 3

4) y = 1 (x - 2)2 - 4

2

5) y = -2(x + 1)2 + 3

6) y = -3(x + 4)2 + 1

7) y = 2(x - 3)2 + 2

8) y = 3(x + 3)2 - 4

9) y = -3(x + 3)2 - 2

10) y = -(x - 2)2 - 2

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Worksheet by Kuta Software LLC

Convert each quadratic from Vertex Form to Standard Form. Then solve the quadratic equations.

11) y = 2(x - 2)2 - 2

12) y = -(x - 1)2 - 3

13) y = 2(x + 3)2 - 2

14) y = -2(x - 2)2 - 3

15) y = (x - 4)2 + 4

16) y = 3(x - 3)2 + 1

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Worksheet by Kuta Software LLC

Math 2 Support

ID: 1

Name___________________________________

Converting Quadratics: Vertex Form to Standard Form

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Sketch the graph of each function.

Date________________

1) y = (x - 2)2 + 3

8 7 6 5 4 3 2 1

-3 -2 -1 0 1 2 3 4 5

3) y = -(x + 3)2 - 3

-6 -5 -4 -3 -2 -1 0 1 2

-2 -3 -4 -5 -6 -7 -8

2) y = (x + 1)2 - 3

2 1

-4 -3 -2 -1 0 -1 -2 -3 -4

4) y = 1 (x - 2)2 - 4

2 1

12

-1 0 -1 -2 -3 -4 -5 -6

12345

5) y = -2(x + 1)2 + 3

4

2

7) y = 2(x - 3)2 + 2

-4 -2 0 -2 -4 -6

24

10 8 6 4 2

-2 0 2 4 6 8

9) y = -3(x + 3)2 - 2

-8 -4 0

-4 -6 -8 -10 -12 -14

6) y = -3(x + 4)2 + 1

2

8) y = 3(x + 3)2 - 4

-12

-8

-4

0

-2

-4

-6

-8

-10

-12

8 6 4 2

-6 -4 -2 0 -2

-4

246

10) y = -(x - 2)2 - 2

-1 0 -1 -2 -3 -4 -5 -6 -7

12345

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Worksheet by Kuta Software LLC

Convert each quadratic from Vertex Form to Standard Form. Then solve the quadratic equations.

11) y = 2(x - 2)2 - 2

12) y = -(x - 1)2 - 3

6 4 2

0

2468

-2

-1 0 1 2 3 4 5 6 7

-2 -3 -4 -5 -6 -7 -8

13) y = 2(x + 3)2 - 2

6 4 2

-8 -6 -4 -2 0

2

-2

14) y = -2(x - 2)2 - 3

-6 -4 -2 0 -2 -4 -6 -8 -10 -12

246

15) y = (x - 4)2 + 4

8 6 4 2 0 123456789

16) y = 3(x - 3)2 + 1

14 12 10 8 6 4 2

-6 -4 -2 0 2 4 6 8

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Worksheet by Kuta Software LLC

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