A) Which Ball Travels the Highest? by How Much?
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Unit 2: Quadratics: Review Name:______*There will be a calculator inactive portion of the test.
1. Find the solutions to the following functions. Use any method, but you must show your work.
a) x2 + 5x = 0 b) 3x – 5x2 = 0 c)4x2 – 64 = 0 d) x2 + 6x = 7 e)2x2 + 8x + 5= 0
2. A soccer ball’s trajectory is modeled by . A football’s trajectory is modeled by .
a) Which ball travels the highest? By how much?
b) Which ball is in the air the longest? By how much?
c) At what time does the football hit the ground?
d) For what time(s) is the football at a height greater than 13 feet?
e) For what time(s) is the football at a height less than 10 feet?
3) Describe the following transformations from the parent function .
a) b) c)
4. Determine the type and the number of solutions the quadratic will have:
5. Write a quadratic function with x-intercepts at (3, 0) and (-9, 0).
6. Write a quadratic function with x-intercepts at (-2,0) and (2, 0) and a vertex at (0, 3).
7. Write a quadratic function with x-intercepts at (-3, 0) and (4, 0) and a y-intercept at (0, -4).
8. Graph the following inequalities on a separate sheet of graph paper.
a) b)
9. Graph on a separate sheet of paper. Then, identify the following without using a calculator.
a) x-intercepts b) y-intercepts c) axis of symmetry d) vertex a.10. WhoseSolve each ball equation: was in the aira) the longest? b)
11. The baseball team has decided to have a throwing contest. Below is the data for 3 different players.
Joe Michael Henry 2 y = -16x + 50x + 5 Time (x) Height (y) b. Who threw their ball the highest? a) Whose ball was in the air the longest? .5 37.5 1 63 b) Who threw their ball the highest? 2 90 c) If you were to determine the winner of the 3 85 0 1 2 3 Time contest, who would you choose and why? c. If you were(seconds) to determine the winner of the contest, who would you choose and why? Unit 2: Quadratics: Review Name:______*There will be a calculator inactive portion of the test.
1. Find the solutions to the following functions. Use any method, but you must show your work.
a) x2 + 5x = 0 b) 3x – 5x2 = 0 c)4x2 – 64 = 0 d) x2 + 6x = 7 e)2x2 + 8x + 5= 0
2. A soccer ball’s trajectory is modeled by . A football’s trajectory is modeled by .
a) Which ball travels the highest? By how much?
b) Which ball is in the air the longest? By how much?
c) At what time does the football hit the ground?
d) For what time(s) is the football at a height greater than 13 feet?
e) For what time(s) is the football at a height less than 10 feet?
3) Describe the following transformations from the parent function .
a) b) c)
4. Determine the type and the number of solutions the quadratic will have:
5. Write a quadratic function with x-intercepts at (3, 0) and (-9, 0).
6. Write a quadratic function with x-intercepts at (-2,0) and (2, 0) and a vertex at (0, 3).
7. Write a quadratic function with x-intercepts at (-3, 0) and (4, 0) and a y-intercept at (0, -4).
8. Graph the following inequalities on a separate sheet of graph paper.
a) b)
9. Graph on a separate sheet of paper. Then, identify the following without using a calculator. d.a) x-interceptsWhose ball was inb) y-interceptsthe air the longest?c) axis of symmetry d) vertex
10. Solve each equation: a) b)
11. The baseball team has decided to have a throwing contest. Below is the data for 3 different players. e. Who threwJoe their ball the highest? Michael Henry 2 y = -16x + 50x + 5 Time (x) Height (y)
a) Whose ball was in the air the longest? .5 37.5 1 63 b) Who threw their ball the highest? 2 90 f. If you were to determine thec) If youwinner were toof determine the contest, the winner who of would the you choose and why? 3 85 0 1 2 3 Time contest, who would you choose and why? (seconds)