<p> Unit 2: Quadratics: Review Name:______*There will be a calculator inactive portion of the test.</p><p>1. Find the solutions to the following functions. Use any method, but you must show your work. </p><p> a) x2 + 5x = 0 b) 3x – 5x2 = 0 c)4x2 – 64 = 0 d) x2 + 6x = 7 e)2x2 + 8x + 5= 0</p><p>2. A soccer ball’s trajectory is modeled by . A football’s trajectory is modeled by . </p><p> a) Which ball travels the highest? By how much? </p><p> b) Which ball is in the air the longest? By how much?</p><p> c) At what time does the football hit the ground?</p><p> d) For what time(s) is the football at a height greater than 13 feet?</p><p> e) For what time(s) is the football at a height less than 10 feet?</p><p>3) Describe the following transformations from the parent function .</p><p> a) b) c) </p><p>4. Determine the type and the number of solutions the quadratic will have: </p><p>5. Write a quadratic function with x-intercepts at (3, 0) and (-9, 0).</p><p>6. Write a quadratic function with x-intercepts at (-2,0) and (2, 0) and a vertex at (0, 3).</p><p>7. Write a quadratic function with x-intercepts at (-3, 0) and (4, 0) and a y-intercept at (0, -4).</p><p>8. Graph the following inequalities on a separate sheet of graph paper.</p><p> a) b) </p><p>9. Graph on a separate sheet of paper. Then, identify the following without using a calculator.</p><p> 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) </p><p>11. The baseball team has decided to have a throwing contest. Below is the data for 3 different players.</p><p>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.</p><p>1. Find the solutions to the following functions. Use any method, but you must show your work. </p><p> a) x2 + 5x = 0 b) 3x – 5x2 = 0 c)4x2 – 64 = 0 d) x2 + 6x = 7 e)2x2 + 8x + 5= 0</p><p>2. A soccer ball’s trajectory is modeled by . A football’s trajectory is modeled by . </p><p> a) Which ball travels the highest? By how much? </p><p> b) Which ball is in the air the longest? By how much?</p><p> c) At what time does the football hit the ground?</p><p> d) For what time(s) is the football at a height greater than 13 feet?</p><p> e) For what time(s) is the football at a height less than 10 feet?</p><p>3) Describe the following transformations from the parent function .</p><p> a) b) c) </p><p>4. Determine the type and the number of solutions the quadratic will have: </p><p>5. Write a quadratic function with x-intercepts at (3, 0) and (-9, 0).</p><p>6. Write a quadratic function with x-intercepts at (-2,0) and (2, 0) and a vertex at (0, 3).</p><p>7. Write a quadratic function with x-intercepts at (-3, 0) and (4, 0) and a y-intercept at (0, -4).</p><p>8. Graph the following inequalities on a separate sheet of graph paper.</p><p> a) b) </p><p>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</p><p>10. Solve each equation: a) b) </p><p>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)</p><p> 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)</p>