Write an equation for a function with the given characteristics. A sine curve with a period...
Write an equation for a function with the given characteristics. A sine curve with a period of , an amplitude of 3, a right phase shift of π/2, and a vertical translation up 2 units. f(x) = _______
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.)
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)
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.)
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,...
The graph of one complete period of a sine curve is given. y 8 л -81 (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 sin(k(x - b)). y =
For each defined function, give the amplitude (A), period (P), vertical translation (V), and phase shift (PS), as applicable. Explain your reasoning. y = 4 + 4 cos( 08(0 - 5) Amplitude= 4, Period = 27, Vertical: 4 (up), Phase Shift: A (right) Amplitude= 4, Period = 7, Vertical: 4 (down), Phase Shift: (left) Amplitude= 4, Period = 277, Vertical: 4 (up), Phase Shift: none Amplitude , Period = 27, Vertical: 4 (up), Phase Shift: (left)
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
A sine function that has an amplitude of 16 units, a period of 5 units, a vertical displacement of 3 units up and a phase shift of 2.5 units left. Graph this function and show each step. https://gyazo.com/dbc02e392367c7345c5490d45482119a