Trashball Activity

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Factor for 2 points. 3. 15x^2-4x-4

(5x+2)(3x-2)

Factor. 1 point 2. w^2-2w-3

(w-2)(w-1)

Solve for 1 point. No calculator. 5. ((-10)+2-(-7))((-3)29)

-1

Solve for 1 point. No calculator. 15. ((-4)234-9+5)

-12

Solve for 1 point. No calculator. 6. (-3)23(5-10+(-8))

-39

Solve for 1 point. No calculator. 4. (4(2-(3)+(-9))) (-10)2

-40

Solve for 1 point. No calculator. 7. (6+(-5)5-(-7)2)2

-88

12. A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the ground t seconds after it is thrown is given by d(t)=-16t^2-4t +382. How long after the rock is thrown is it 370 feet from the ground?

.1 second after it is thrown

Solve for 1 point. No calculator. 12. ((10-7)2(-8))9+8

0

Solve for 1 point. No calculator. 9. (2-5(-2)+(-9))29

1

13. A ball is thrown up from the top of the building, the height (h) in meters above the ground by: h=-5t^2+30t+30. How long after the ball is thrown, is it 60 ft above the ground?

1.4 seconds

Solve for 1 point. No calculator. 1. (22+(9)) ((-10)-(5))(-2)

1.73

Solve for 1 point. No calculator. 11. ((-8)2-(-6)(4+2))

100

Solve for 1 point. No calculator. 2. (-7)((-8)-(6)+8(-2)3

105

Solve for 1 point. No calculator. 13. (4+522)3-(-3)

11

Solve for 1 point. No calculator. 2. (-7)((-8)-(6)+8(-2)3

16

Solve for 1 point. No calculator. 10. 33(-3)(2-9+5)

18

Solve for 1 point. No calculator. 8. (7-5)310((-2)+6)

20

Factor. 1 point 1. 4w^2-80w+76

4(w-1)(w+20)

Solve for 1 point. No calculator. 14. (-5)(-7)+(-10)2(8-3)

55

14. The height of a flare fired from the deck of a ship in distress can be modeled by h=-16t^2+104t+56,where h is the height of the flare above water and t is the time in seconds. Find the time it takes the flare to hit the water.

7 seconds

Graph the quadratics. 2 points 7 .y=-3x^2+x+1 Vertex: X-intercept: Y-intercept: Axis of symmetry:

Vertex: (.16, -.92) or (1/6, -11/12) X-intercept: No x intercepts. Y-intercept:(0, -1) Axis of symmetry: x=1/6

Graph the quadratics. 2 points 9. y=3x^2 Vertex: X-intercept: Y-intercept: Axis of symmetry:

Vertex: (0, 0) X-intercept: (0, 0) Y-intercept: (0, 0) Axis of symmetry: x=0

Graph the quadratics. 2 points 6. y=-x^2+2x+3 Vertex: X-intercept: Y-intercept: Axis of symmetry:

Vertex: (1, -2) X-intercept: No x intercepts. Y-intercept: (0, -3) Axis of symmetry: x=1

Graph the quadratics. 2 points 8. 2x^2-12x+7 Vertex: X-intercept: Y-intercept: Axis of symmetry:

Vertex: (3, -11) X-intercept: (.65, 0) and (5.34, 0) Y-intercept: (0, 7) Axis of symmetry: x=3

Graph the quadratics. 2 points 10. y=x^2-8+13 Vertex: X-intercept: Y-intercept: Axis of symmetry:

Vertex: (4, -3) X-intercept: (2.3, 0) and (5.7, 0) Y-intercept: (0, 13) Axis of symmetry: x=4

11. A rocket carrying fireworks is launched from a hill 80 feet above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by the function: h(t)= -16t^2+64t +80. a. What is the height of the rocket after 1.5 seconds? b. What is the maximum height reached by the rocket? c. After how many seconds after it is launched will the rocket hit the lake?

a) 140 ft at 1.5 seconds b) 143 ft in 2 seconds c) 5 seconds

15. The length of a garden is 7 feet more than the width. The area of the garden is 198 square feet. Graph the vertex, x and y-intercept of the equation that represents this situation, x^2+7x-198=0.

vertex: (-3.5, -210.25) x-intercepts: (-18, 0) and (11, 0) y intercept:(0, 198)

Find the vertex. Use the vertex to convert to vertex form. 2 points 5. 7x^2-31x-20

vertex: (2.2, -54.3) y=7(x-2.2)^2-54.3

Find the vertex. Use the vertex to convert to vertex form. 2 points 4. x^2-7x-18

vertex: (3.5, -30.25) y=(x-3.5)^2-30.25


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