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To: Trapasso, Tyler FT 2013 GRAD@Beacon High School

Date: Friday, January 25, 2013

Re: Home > New Algebra I (2010 Edition) Semester 2

New Algebra I (2010 Edition) Semester 2 anyteacher and Mrs. Darrow

Submission 22: Parabolas You have looked at it once before. There are 25 questions worth 28 points.

Part 1 Select the best answer from the choices provided. (Each question is worth one point)

1. Fill in the blanks. If the parabola opens upward, the vertex is called the _____. coordinates maximum point

cup minimum point

2. Fill in the blank. The equation for the axis of symmetry is _____.

x = -b

2a x =

-b

-b

2a 2a

x = b

2a x =

-2b

a

3. Fill in the blank. A _____ is an equation that can be expressed in the form of the equation y = ax2 + bx + c where the variable a is not equal to 0.

minimum point coordinate

quadratic equation vertex

4. Fill in the blanks. The vertical line that contains the vertex is called the _____. minimum point coordinate

quadratic equation axis of symmetry

5. How many roots does the following parabola have?

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One root No roots

Two roots Three roots

6. How many roots does the following parabola have?

One root No roots

Two roots Three roots

7. How many roots does the following parabola have?

One root No roots

Two roots Three roots

8. Identify the x coordinates of the roots of the following parabola.

-2 < x < -1, 1 < x < 2 -1 > x > 0, 1 > x > 2

-1 > x > -2, 0 < x < 1 -1 < x < 0, 1 < x < 2

9. Identify the x coordinates of the roots of the following parabola.

-6 > x > -5, -2 > x > -1 -6 < x < -5, -2 < x < -1

-6 < x < -5, -3 < x < -2 -4 < x < -5, -2 < x < -1

Part 2 Select the best answer from the choices provided. (Each question is worth one point)

10. Determine the equation of the axis of symmetry. y = -6×2 + 3x – 4

x = -4

12 x =

3

2

x = -2

10 x =

1

4

11. Determine the equation of the axis of symmetry. y = 8×2 + 7x + 6

x = -1

10 x =

-2

48

x = -3

14 x =

-7

16

12. Determine the equation of the axis of symmetry. y = 4×2 + 6x – 1

x = -3

4 x =

7

12

x = -3

3 x =

3

4

13. Determine the equation of the axis of symmetry. y = 3×2 – 3x + 2

x = 2

6 x =

1

2

x = 3

2 x =

1

3

14. Determine the equation of the axis of symmetry. y = 5×2 + 7x – 3

x = 2

30 x =

-1

30

x = -3

14 x =

-7

10

15. Determine the vertex of the given equation. y = x2 – 2x + 1

(-1, 0) (1, 0)

(1, -1) (1, 1)

16. Determine the vertex of the given equation. y = -x2 + 4x – 4

(-2, 0) (0, 0)

(2, 0) (0, -2)

17. Determine the vertex of the given equation. y = -x2 – 7x – 12

( -7

, -1

) 2 4

( 7

, -1

) 2 4

( 7

, 1

) 2 4

( -7

, 1

) 2 4

18. Determine the vertex of the given equation. y = x2 + 9

(1 , 10) (0 , 9)

( 3

, 7

) 2 2

( 1

, 11

) 5 3

Part 3 Select the best answer from the choices provided. (Each question is worth one point)

19. Given the quadratic equation y = 2×2 + 4x + 5 identify the value of y when x = 0.

y = 7 y = 5

y = 9 y = -2

20. Given the quadratic equation y = 3×2 – 6x + 7 identify the value of y when x = -1.

y = 16 y = 10

y = 4 y = 7

21. Identify the parabola that belongs to the quadratic equation y = –

1 x2 + 52

22. Identify the parabola that belongs to the quadratic equation y = –

1 x2 + 74

Part 4 Type your answer into the textbox below each item. (Each question is worth two points)

23. In which direction does the parabola for the quadratic equation y = 2×2 – 6x + 1 open?

24. In which direction does the parabola for the quadratic equation y = -5×2 – 16x + 21 open?

25. The axis of symmetry for the quadratic equation y = x2 + 4 lies on which axis?

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