3. [09.02] Solve 3x2 + 18x + 15 = 0 by completing the square. (2 points) O 3(x + 3)2 = 6; x = -3 + 2 ,x= -3 - J2 O 3(x + 9)2 = 12; x = -11, x=-7 O 3(x + 3)2 = 12;x = -5, x = -1 O 3(x+9)2 = 228; x = -9+ 76 ,X= -9 - 576 4. [09.02] Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. (2 points) f(x) = 2x2 - 8x + 5 Line 1: f(x) = 2(x2 - 8x) + 5 Line 2: f(x) = 2(x2 - 8x + 16) + 5 - 32 Line 3: f(x) = 2(x - 4)2 - 27 O Line 1 Line 2 Line 3 He did not make any mistakes3. (09.06) Two functions are shown in the table below. Function 1 2 3 5 6 f(x) = -x2 + 4x + 12 g(x) = x+8 Complete the table on your own paper, then select the value that is a solution to f(x) = g(x). (2 points) O X =3 O X = 4 x = 5 O X= 6All changes saved D g moans) Amir pitches a baseball at an initial height of 6 feet, with a velocity of 73 feet per second. If the batter misses, about how long does it take the ball hit the ground? (2 points) Hint: Use H(t) = -1Crt2 + in +s, O 464 seconds 0 2.94 seconds 0 2.28 seconds 0 0.03 second D g 2_ (0905) Jules kicks a soccer ball off the ground and into the Elf with In initial velocity at 25 feet per second' Assume the starting height of the hall is 0 feet. Approximately how long does it take until the soccer ball hits the ground again? (1 point) 0 I16 sec O 073 sec 0 16 secs 0 2.8 secs 6. [09.04] Joyce is trying to solve the equation 0 = x2 - 8x + 7 using the quadratic formula. She has made an error in one of the steps below. Find the step where Joyce went wrong. (1 point) Step 1:x = -(8)+ (8)2 -4(1)(7) 2(1) Step 2:x = (8) + v64 - 28 2(1) Step 3:x = =(8)+ v36 2(1) Step 4 :x = 816 2 Step 1 Step 2 Step 3 Step 4m g 7. [09.01] Choose the equation below whose axis of symmetry Is 1 = D. (1 new) 0 y=x2+21 O y:x2-16x+58 O y:x2+2 O y=xZ-4x+2 Q [j 3. (09 95) Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border. I? (2 points) 0 4x2+215x+2.592:o O 4x2+216x-684=0 O 712+216xi3276=0 O x2+108x+3.276=0 D g 4. (0905) A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second. What is the maximum height ofthe particle? (2 points) All changes saved 2. (09.06) For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. What is definitely true about x = 7? (2 points) Both m(x) and p(x) cross the x-axis at 7. Both m(x) and p(x) cross the y-axis at 7. Both m(x) and p(x) have the same output value at x = 7. Both m(x) and p(x) have a maximum or minimum value at x = 7.5. [09.04] How can you tell when a quadratic equation has two identical, rational solutions? (1 point) When the radicand is negative When b in the quadratic formula is greater than the radicand When the radicand equals zero When the radicand is not a perfect squareAll changes saved 3. [09.04] What are the exact solutions of x2 = 4 - 7x? (1 point) O x= -7+ v33 2 *= -7+ v65 2 *= 7+ v65 2 Ox= 71 33 2 Q 4. [09.04] Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. (2 points) -b b2 - 4ac 2a Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation: 2x2 + 7x + 3= 01. [09.02] In the function f(x) = 5(x2 - 4x + ) + 15, what number belongs in the blank to complete the square? (2 points) 2. [09.02] The height of water shooting from a fountain is modeled by the function f(x) = -4x2+ 24x - 29 where x is the distance from the spout in feet. Complete the square to determine the maximum height of the path of the water. (2 points) O -4(x - 3)2 - 29; The maximum height of the water is 3 feet. O -4(x - 3)2 - 29; The maximum height of the water is 29 feet. O -4(x - 3)2 + 7; The maximum height of the water is 7 feet. O -4(x - 3)2 + 7; The maximum height of the water is 3 feet.5. [09.02] Two sets of quadratic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 - 0.25 Line 2: x2 + 5x + 6 (x + 2)(x+ 3) (x +2.5)2 +6.25 Which line contains three equivalent expressions? (2 points) Line 1 only Line 2 only Both Line 1 and Line 2 Neither Line 1 nor Line 21. [09.04] All changes saved Solve: 8x2 + 64x = 0. (2 points) X = 0, X = -8 O X = 0, X = 8 O X = -8, X = 0, x = 8 O X = 8, X = 64 2. [09.04] Solve: 16x2 - 81 = 0. (2 points) x = 4,9 O X= -4,-9 O x= 2 , -,X= - + 110 O X = , 81 ,X=- 81 16 16D [j 5. (09 us) A golf hail is hit from the ground with an initial speed of 192 feet per second. Assume the starting height of the ball is 0 feet. How long will it take the golf ball to hit the ground? {2 points) Q g 5. (0905) Jules kicks a soccer bat! off the ground and into the air with an Initial veloctty cl 25 feet per second' Aasu me the starting height of the ball is 0 feet. Approximately what maximum height does the soccer ball reach? (1 paint) 6. (09.06) Indicate whether the following statement is true or false: An exponential growth function eventually exceeds a quadratic function with a positive leading coefficient. (1 point) True False1. [09.01] All changes saved Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 - 8x + 16 In which direction and by how many units should f(x) be shifted to obtain g(x)? (1 point) Left by 4 units Right by 4 units Left by 8 units Right by 8 units 2. [09.01] The distance traveled, in feet, of a ball dropped from a tall building is modeled by the equation d(t) = 16t where d equals the distance traveled at time t seconds and t equals the time in seconds. What does the average rate of change of d(t) from t = 2 to t = 5 represent? (2 points) The ball travels an average distance of 112 feet from 2 seconds to 5 seconds. The ball falls down with an average speed of 48 feet per second from 2 seconds to 5 seconds. The ball falls down with an average speed of 112 feet per second from 2 seconds to 5 seconds. The ball travels an average distance of 48 feet from 2 seconds to 5 seconds.3. [09.01] Determine which of the following statements is true concerning the values described in column #1 and column #2. (1 point) Column #1 Column #2 The x-coordinate of the vertex of the equation The x-coordinate of the vertex of the equation y = 2x2 - 4x + 12 y = 4x2+ 8x + 3 O The value found in column #1 is greater than the value found in column #2. The value found in column #1 is less than the value found in column #2. The value found in column #1 is equivalent to the value found in column #2. The relationship between column #1 and column #2 cannot be determined by the information given.5. (09.06) The first-, second-, and third-year enrollment values for a technical school are shown in the table below. Enrollment at a Technical School Year (x) First Year f(x) Second Year s(x) Third Year t(x) 2009 785 756 756 2010 740 785 740 2011 690 710 781 2012 732 732 710 2013 781 755 800 Which of the following statements is true based on the data in the table? (2 points) The solution to f(x) = s(x) is x = 2,009. The solution to f(x) = s(x) is x = 785. The solution to f(x) = t(x) is x = 2,010. The solution to f(x) = t(x) is x = 740.7. [09.04] What are the approximate solutions of 2x2 + 9x = 8 to the nearest hundredth? (1 point) x = 1.22 and x = 3.28 x = -0.76 and x = 5.26 x = -1.22 and x = -3.28 Ox = -5.26 and x = 0.764. [09.01] Functions 1 and 2 are shown below: Function 1: f(x) = -3x2+ 2 Function 2 21 Which function has a larger maximum? Type your answer as 1 or 2. (2 points)Q 1. (09.06) All changes saved A graph of 2 functions is shown below. 52.5 + 45 37.5 30 22.5 + f(x) 15 7.5 -5 -3 -2 2 15 g(x) -22.5 -30 Which of the following is an approximate solution for f(x) = g(x)? (2 points) O X= 1 O X= -1 O X= -4 x =24. (09.06) Which of the following functions has the largest value when x = 3? (1 point) c(x) = 3x2+ 5x + 22 j(x) = 12x a(x) = 9x O All the functions are equal at x = 3. O c(x) O i(x) O a(x)