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Chapter 5 Test, Sections 2 – 5. Form B Name ____________________________ Period # __________ Section 2: Properties of Parabolas B. What is the vertex of y 2x 2 20x 27 . B. __________________ P. Write the quadratic function y 3x 5 5 in Standard Form. 2 P. __________________ A. Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the formula P 3x 2 12x 13 , where x is the number of units produced per week, in thousands. Find the maximum weekly profit. Section 2: Properties of Parabolas B. What is the axis of symmetry for the quadratic function y 5x 2 6x 4 . A. __________________ B. __________________ P. A manufacturer determines that the number of drills it can sell is given by the formula 2 D 4 p 200 p 412 , where p is the price of the drills in dollars. At what price will the manufacturer sell the maximum number of drills? P. __________________ A. Graph y x 2 8 x 10 . Fill in the table like we did in class. Section 3: Transforming Parabolas 2 B. What is the y-intercept of y 5x 3 9 ? B. __________________ P. Write the quadratic function y 4 x 2 24 x 7 in Vertex Form. P. __________________ A. Determine a and k so both points are on the graph of the function. (-5, -3), (-2, -2); y ax 3 k . 2 Section 3: Transforming Parabolas 2 B. What is the vertex of y 4x 7 3 ? A. __________________ B. __________________ P. Write the equation of the parabola in Vertex Form. Given vertex is (5, 7) and a point the parabola passes through is (8, 25). P. __________________ A. Graph y 2x 6 7 . Fill in the table like we did in class. 2 Section 4: Factoring B. Factor 16x 2 169 B. __________________ P. Factor 10 x 2 11x 6 P. __________________ A. Factor 16 x 2 74 x 30 A. __________________ Section 4: Factoring B. Factor x 2 12 x 28 B. __________________ P. Factor 15 x 2 19 x 6 P. __________________ A. Factor 30 x3 21x 2 36 x A. __________________ Section 5: B. Solve 9x 2 49 0 B. __________________ P. Firefighters: A smoke jumper jumps from a plane that is 1900 ft above the ground. The function y 16t 2 1900 gives the jumper’s height y in feet at t seconds. How long is the jumper in free fall if the parachute opens at 1000 ft? P. __________________ A. One solution to the equation 4 x 2 bx 6 0 is 2. Find the other solution. A. __________________ Section 5: B. Solve x 2 6x 7 0 B. __________________ P. Solve x 7 18 2 P. __________________ A. Find the product of the solutions to the equation 4 x 2 17x 15 . A. __________________