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Regents Exam Questions CC.F.BF.3: Geometric Transformations Page 1 www.jmap.org Name: __________________________________ CC.F.BF.3: Identify the effect on the graph of replacing f(x) by f(x)+k, kf(x), f(kx), and f(x+k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. 1 The accompanying graph shows the relationship between kinetic energy, y, and velocity, x. The reflection of this graph in the line 1) 2) 3) 4) is Regents Exam Questions CC.F.BF.3: Geometric Transformations Page 2 www.jmap.org Name: __________________________________ 2 The parabola shown in the accompanying diagram undergoes a reflection in the y-axis. What will be the coordinates of the turning point after the reflection? 1) 2) 3) 4) 3 Which transformation of the graph of 1) 2) 3) 4) would result in the graph of ? 4 Two parabolic arches are to be built. The equation of the first arch can be expressed as , with a range of , and the second arch is created by the transformation . On the accompanying set of axes, graph the equations of the two arches. Graph the line of symmetry formed by the parabola and its transformation and label it with the proper equation. Regents Exam Questions CC.F.BF.3: Geometric Transformations Page 3 www.jmap.org Name: __________________________________ 5 a On the accompanying grid, graph the equation label it a. b On the same grid, sketch the image of a under in the interval and and label it b. 6 Graph and label the following equations, a and b, on the accompanying set of coordinate axes. Regents Exam Questions CC.F.BF.3: Geometric Transformations Page 4 www.jmap.org Name: __________________________________ Describe the composition of transformations performed on a to get b. 7 Which transformation of 1) 2) 3) 4) results in the function ? Regents Exam Questions CC.F.BF.3: Geometric Transformations www.jmap.org 1 2 3 4 ANS: 2 ANS: 4 ANS: 2 ANS: REF: 080820b REF: 010901b REF: 010605b REF: 060129b 5 ANS: REF: 010232b 6 ANS: , REF: 080231b 7 ANS: 2 REF: 080801b or