Which graph of the function y = 2 sin 3(6-30)+1, where -180 < < 180, is best illustrated below? -150 -120 -90 -60 -30 -1.50 -120 -90 -60 -30 --2 30 60 30 60 90 120 150 90 120 150 e -150 -120 -90 -60 -30 30 60 90 120 150 fight 2 To Debrecenbe -150 -120 -90 -60 -30 30 60 90 120 150 The graph of f(9) =4cuse is shown below. The range of this function is 5 o 05/(0) 54 o - x = f(B) 2x o -451(0) 54 o -45$(0) 10 27T k The graph of the function f(x) = 2 arcsin (a - 4)+1, is best pictured by: 0 5 0 O The graph y = arctanz is transformed to y = a arctan (b (2-c)) + d by a horizontal compression of and a translation of units to the left. The new equation is: Oy aretan (4 (z - )) O g=4arctan(z - ) O yaretan (4 (x + )) Oy=arctan((+)) Describe how the graph of y = 3 arccos(-(2+5)) - 2 is a transformation of y= arccos(a). Vertical Stretch of 3, a reflection about the y-axis, a vertical translation of 2 down, and a horizontal translation of 5 left. Horizontal Stretch of 3, a reflection about the x-axis, a vertical translation of 5 down, and a horizontal translation of 2 left. Horizontal Stretch of, a reflection about the y-axis, a vertical translation of 2 up, and a horizontal translation of 5 down. Vertical Stretch of , a reflection about the y-axis, a vertical translation of 5 up, and a horizontal translation of 2 right. At a seaport, the depth of the water, metres, at time + hours, during a certain day is given by h = 6.7 sin (2)- -3.1 What is the maximum depth of the water? 9.8 m 6.7 m 3.6 m O 10.7 m In a certain town in North America, the time of sunset for any day of the year can be found using the equation t = - 1.79 sin((d +90)) + 20.3 where + is the time in hours after midnight and is the number of the day in the year. t To the nearest minute, when did the sun set on June 7th, the 158th day of the year? 8:43 pm 8:58 pm O 10:03 pm 9:55 pm