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Name:_________________________ Mr. Nickels 1). 2) 3) Math 3C A modulated laser heats a diamond. Its variable temperature, in degrees Celsius, is given by f (t ) T sin at . What is the period of the curve? 1 (1) T (3) a 2 (2) (4) f (t ) T sin at a What is the period of the function y = 5 sin 3x? (1) 5 (3) 3 2 2 (2) (4) 5 3 The brightness of the star MIRA over time is given by the equation y = 2 sin x + 6 , where x represents 4 time and y represents brightness. What is the period of this function, in radian measure? 4) A monitor displays the graph y = 3 sin 5x. What will be the amplitude after a dilation of 2? (1) 5 (3) 7 (2) 6 (4) 10 5) What is the amplitude of the function y 2 2 (2) 3 (1) 2 sin 4 x ? 3 (3) 3 (4) 4 6) The path traveled by a roller coaster is modeled by the equation y = 27 sin 13x + 30. What is the maximum altitude of the roller coaster? (1) 13 (3) 30 (2) 27 (4) 57 7) Which type of symmetry does the equation y = cos x have? (1) line symmetry with respect to the x-axis (2) line symmetry with respect to y = x (3) point symmetry with respect to the origin (4) point symmetry with respect to ( ,0) 2 8) The shaded portion of the accompanying map indicates areas of night, and the un-shaded portion indicates areas of daylight at a particular moment in time. Which type of function best represents the curve that divides the area of night from the area of daylight? (1) quadratic (3) tangent (2) cosine (4) logarithmic 9) A certain radio wave travels in a path represented by the equation y 5 sin 2 x. What is the period of this wave? (1) 5 (3) (2) 2 (4) 2 10) A sound wave is modeled by the curve y 3 sin 4 x. What is the period of this curve? (1) (3) 3 (2) (4) 4 2 11) An object that weighs 2 pounds is suspended in a liquid. When the object is depressed 3 feet from its equilibrium point, it will oscillate according to the formula x = 3 cos (8t), where t is the number of seconds after the object is released. How many seconds are in the period of oscillation? (1) (3) 3 4 (2) (4) 2 12) What is the period of the graph of the equation y 2 sin (1) 2 3 (2) 2 (3) 6 (4) 3 2 1 x? 3