GEORGIA MATHEMATICS 1 - Carnegie Learning

AssignmentAssignment for Lesson 3.1Name ___________________________________________________Date _____________________Website DesignIntroduction to Quadratic FunctionsIdentify the values of a, b, and c in each quadratic function.1. y 2x 2 3x 12. y 3x 2 5x3.y x 2 4x 2a = 2, b = 3, c = –1 a = 3, b = –5, c = 0 a = 1, b = 4, c = 2Evaluate each quadratic function for the given value of x. Show all your work.4. f(x) 2x 2 3x 1; f(2) 5. f(x) 3x 2 5x; f(1)6.f(x) x 2 4x; f(0)f(2) = 2(2) 2 + 3(2) – 1 f(–1) = 3(–1) 2 – 5(–1) f(0) = (0) 2 + 4(0)= 8 + 6 –1 = 3 + 5 = 0 + 0= 13 = 8 = 03As the set designer for your school play, you have to build an archway for one of the scenes.The archway needs to be 14 feet wide and 12 feet high. Before cutting the archway in a pieceof plywood, you draw a plan on a coordinate grid. The table below shows some of the pointson the archway with respect to the origin. The origin represents the lower left-hand corner ofthe plywood sheet where you will begin cutting.LabelsUnitsHorizontal distancefeetVertical distancefeet© 2008 Carnegie Learning, Inc.0 05 11.027 129 11.0214 07. Create a scatter plot of the points on the archway on the grid. First, choose your boundsand intervals. Be sure to label your graph clearly.Variable quantity Lower bound Upper bound IntervalHorizontal distance 0 15 1Vertical distance 0 15 1Georgia Mathematics 1 Chapter 3 ■ Assignments 127