College Algebra College Algebra Exam XXXXXXXXXXSpring XXXXXXXXXXName:_____________________ Due: Tues. May 11 at 11:59 pm NO LATE SUBMISSIONS WILL BE ACCEPTED. The exam must be submitted through the...

The work needs to be shown as well


College Algebra College Algebra Exam 5 Spring 2021 Name:_____________________ Due: Tues. May 11 at 11:59 pm NO LATE SUBMISSIONS WILL BE ACCEPTED. The exam must be submitted through the Vancko Hall assignment tool in jpeg, pdf, or word format. SHOW ALL WORK. ANSWERS WITHOUT WORK RECEIVE NO CREDIT. DO YOUR OWN WORK PLEASE!! 1) (8 points each) Solve using the quadratic formula. Round any decimal answers to two decimal places please. Clearly show work. a) 2 10 29 0x x− + − = b) 26 15 6x x= − c) 4?2 = ? + 6 2) (4 pts each) Solve by factoring. Clearly show work. a) 432 =+ xx b) xx 7122 =+ 3) For the quadratic function 32)( 2 −+= xxxf a) (worth 2 pts) Does the parabola open up or down? b) (worth 4 pts) Find the coordinates of the vertex. Clearly show work. c) (worth 10 pts) Find the x-intercepts of the graph. Clearly show work., d) (worth 4 pts) Find the y-intercept of the graph. e) (worth 10 pts) Sketch the graph. Please label the intercepts and the vertex. 4) The enrollment in a pre-school program can be approximated by the function 4622.1043.0)( 2 ++−= tttN where t is in years. (worth 10 pts) a) After how many years will the school reach its MAXIMUM enrollment? Round answer to nearest whole number. b) What will the maximum enrollment be? Round answer to nearest whole number. 5) (worth 28 pts) The function 302016)( 2 ++−= ttth represents the height (ft) of an object thrown upwards as a function of time (sec). a) What is the height of the object after 2 seconds? Include unit. b) What is the height of the object after 5 seconds? Does your answer make sense? Explain. c) At what time will the object be at a height of 20 ft? Round answer to one decimal and include unit. continued on next page… Problem 5 (continued) d) When will the object hit the ground? Round answer to one decimal and include unit.