8. For the graph, draw the sinusoidal axis. Then, determine the amplitude, the vertical translation, the...
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
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)
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 =
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 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
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.)
Given The partial graph of the cosine function below has a minimum post -2 nd a maximum point at C ) as shown below. The equation of the function can be expressed in the form acos -c))+d. ...c.d w . a) Draw the midline on the graph. b) What is the amplitude of the graph? c) What is the period of the graph? d) What is the value of b in the above equation? e) What is the phase shift...
please help with part b
Amplitude, Period, and Phase Shift: From Function. Given a function f(x) = a sin(bx + c) or g(x) = a cos(bx + c), you have the following formulas: Amplitude = lal Period = 40 Phase Shift = -9 Determine the amplitude, period, and phase shift for the given functions: (a) f(x) = -6 sin(5x - 2) Amplitude = 6 Period Phase Shift = (b) f(x) - 4 sin(8 - 9xx) Amplitude Period = Phase Shift...
Determine the amplitude, period, and phase shift of the function. Graph the function. y= sin (4x -21)
e the amplitude, period, phase shift, vertical shift. Find the coordinates of the first two points (xo, yo) and (x1,y) of the five key points for the trig function y-3 sin(x T) in one period starting with the phase shift. (No need to sketch the graph)
e the amplitude, period, phase shift, vertical shift. Find the coordinates of the first two points (xo, yo) and (x1,y) of the five key points for the trig function y-3 sin(x T) in one...