Froggy Jumps The Elements of the Quadratic FunctionOnline version This is a game to help students to identify basic and relevant elements of a quadratic function ƒ(x) = ax² + bx + c, such as concavity, vertex, axis of symmetry, and intercepts with the coordinate axes. by Omar G. Monteagudo 1 Which of the following statements holds true for the function ƒ(x) = -x² + 6x - 5? a It opens downwards and its intercection with "y" axis is y = 5. b It opens downwards and its intercection with "y" axis is y = -5. c It opens upwards and its interception with "y" axis is y = 5. 2 Which of the following statements holds true for ƒ(x) = -x² + 12x - 35? a It opens downwards and it symmetry axis is x = 6. b It opens upwards and it symmetry axis is x = 6. c It opens downwards and it symmetry axis is x = -6. 3 It is the value of h for ƒ(x) = -3(x - 3)² + 13: a 13 b -3 c 3 4 It is the value of k for ƒ(x) = -3(x - 3)² + 13: a 13 b -13 c 3 5 It is the vertex of ƒ(x) = (x - 3)(x - 5): a V = (4, -1). b V = (4, 1). c V = (-4, 1). 6 Select the point that belongs to the graph of ƒ(x) = -3x² + 6x + 2. a (-1, 7) b (1, 7) c (-1, -7) 7 These are roots of ƒ(x) = 4(x-4)² - 16: a -2, and -6. b -2, and 6. c 2, and 6. 8 These are the roots of ƒ(x) = 6x² - 13x + 6: a -2/3, and 3/2. b 2/3, and 3/2. c 2/3, and -3/2. 9 This is the general form corresponding to ƒ(x) = 4(x-4)² - 16: a ƒ(x) = 4x² - 32x + 48. b ƒ(x) = 4x² + 32x + 48. c ƒ(x) = 4x² - 32x - 48. 10 This is the standard form ƒ(x) = a(x - h)² + k, that corresponds to the function ƒ(x) = -3x² + 6x + 2. a ƒ(x) = -3(x + 1)² + 5. b ƒ(x) = -3(x - 1)² - 5. c ƒ(x) = -3(x - 1)² + 5.
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