The graph of one complete period of a sine curve is given. y 8 л -81...
please show all steps The graph of one complete period of a cosine curve is given. (a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) amplitude period horizontal shift (b) Write an equation that represents the curve in the form y = a cos((x - b)).
13. Given y = -3 + 4cos (2x + 5) (a) What is the period? (b) How many cycles in 27 radians? (c) Is the curve shifted left or right? (d) Is the curve shifted up or down? 14. Given that y = 1 +2 cos(x) Fill in the chart and graph the function. Do not leave blanks in the chart; if a category does not apply, show that by an appropriate answer. To receive full credit for the graph,...
Write an equation for a function with the given characteristics. A sine curve with a period of 87, an amplitude of 2, a left phase shift of 1/4, and a vertical translation down 4 units. f(x) = X
8. For the graph, draw the sinusoidal axis. Then, determine the amplitude, the vertical translation, the phase shift, and the period of a sine function, then write the equation of the function of the form: f(x) - a sin [k(x-d)] + c I [K-51 1 # NI
8. For the graph, draw the sinusoidal axis. Then, determine the amplitude, the vertical translation, the phase shift, and the period of a sine function, then write the equation of the function of the form: f(x) = a sin [k(x-d)] + c [K-5) efquat n 1 NI
Write the equation of a sine function that has the following characteristics. 1 Amplitude: 8 Period: 8x Phase shift 2 Type the appropriate values to complete the sine function -sin у 3 (Use integers or fractions for any numbers in the expression. Simplify your answers.)
Write the equation of a sine function that has the following characteristics. 1 Amplitude: 2 Period: 6 Phase shift: 5 Type the appropriate values to complete the sine function y = sin (x+ (Use integers or fractions for any numbers in the expression. Simplify your answers.)
4. Find the amplitude, period, and horizontal shift of the function, and graph one complete period. y = 3 cos (1-7)
-2TT 2TT a) State the amplitude, frequency, period, vertical and horizontal shifts, if any. b) Write an equation that represents the curve in the form y = a sin k(x – b) +c or y = a cos k(x – b) +0 c) State the exact coordinates of one x-intercept, one maximum and one minimum.
Question 16 (5 points) Write the equation of a sine function that has the given characteristics. Amplitude: 2 Period: Phase Shift:-9 Oy= 2.sin(x+3) y=2 sift + 12 ya zinlotto)