Parabola Quiz Review-1 PDF

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help for a parabolas quiz it needed it shows the answers and will also give info about graphs and other parabolas...

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Algebra 1

Name___________________________________

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Parabola Quiz Review

Date________________ Period____

Sketch the graph of each function. Then analyze the graph for the vertex, axis of symmetry, y-intercept, roots, and transformations. 1) f (x ) = - x 2 - 2 x + 3

2) f (x) =

y

1 2 x - 2x + 5 2

5

y

4.5 6 4 5.5 3.5 5 3 4.5 2.5 4 2 3.5 1.5 3 1 2.5 0.5 2

-5

-4

-3

-2

-1

1 x

Text1.5

-0.5 1 -1 0.5 1

x -2x+3

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

2

3

4

5

6 x

3

4 x

4) f (x) = - x 2 + 2 x + 3

y

y

3

5

2.5

4.5

2

4

1.5

3.5

1

3

0.5

2.5 2

-3

-2

-1

1 -0.5

2

3 x

1.5

-1

1

-1.5

0.5

-2 -2

-1

1

-2.5

-0.5

-3

-1

2

Worksheet by Kuta Software LLC

-1-

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5) f (x ) = - x 2 - 6 x - 5

6) f (x) = x 2 - 4 x + 7 y

y 8

5 4.5

7 4 6

3.5 3

5 2.5 4

2 1.5

3 1 2

0.5 -5

-4

-3

-2

-1

1 x

-0.5

1

-1 -2

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

-1

1

2

3

4

5

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

y

-2

y

2

2

1.5

1.5

1

1

0.5

0.5

-1

6 x

1

2

4 x

3

-5

-4

-3

-2

1 x

-1

-0.5

-0.5

-1

-1

-1.5

-1.5

-2

-2

-2.5

-2.5

-3

-3

-3.5

-3.5

-4

-4

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

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

y

6

3

5

2

4

1

3 -1

1

2

-1

1

-2

2

3

4

5

6

7

8

9 x

-3 -6

-5

-4

-3

-2

-1

1

2

3

4 x

-1

-4

-2

-5

-3

-6

-4

-7

Worksheet by Kuta Software LLC

-2-

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Answers to Parabola Quiz Review 1)

2)

y

3)

y

y

5

6

3

4

5

2

3

4

1

2

3

1

2

-1

1

-2

-5

-4

-3

-2

-1

1

2 x

-4

-3

-2

-1

-3

-1 -1

4)

1 x

1

2

3

4

5)

y

5 x

6)

y

y 8

5

5

4

4

3

3

2

2

4

1

1

3

7 6 5

2 -3

-2

-1

1

2

3 x

-5

-4

-3

-2

-1

7)

-1

-3 -2 -1

8)

y

-2

1

1 x

-1

y

1

2

9)

2

6

1

1

4

1

2

3

4 x

-6

-5

-4

-3

-2

-1

x

5 x

2

-1

-1

-2

-2

-3

-3

-2

-4

-4

-4

10)

4

y

2

-1

3

-6

-4

-2

2

4 x

y 2

-4

-2

2

4

x

-2 -4 -6

Worksheet by Kuta Software LLC

-3-

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