-2TT 2TT a) State the amplitude, frequency, period, vertical and horizontal shifts, if any. b) Write...
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 =
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)).
(1 point) The graph below is a vertical and/or horizontal shift of y1/x (assume no reflections or compression/expansions have been applied) (a) The graph's equation can be written in the form f(x)+B x+ A for constants A and B. Based on the graph above, find the values for A and B and B= (b) Now take your formula from part (a) and write it as the ratio of two linear polynomials of the form, f(x) = x+ D for constants...
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 8 cos 0-6 sin 0 Write the Cartesian equation. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box O A. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) B. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) O C. The...
Find the amplitude, frequency and period of motion for an object vibrating at the of a horizontal spring if the equation for its position as a function of time is: X = (0.250m) cos(pi/8.00 t) Amplitude Frequency Period Find the position, velocity and acceleration at t = 1.0 s for the wave in question 2: position
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,...
Graph two full periods of the function Rx) = 3 sin ( 1 ) + State the amplitude, period, and midline. amplitude period midline Determine the exact maximum and minimum y-values and their corresponding x-values for one period where x > 0. (For each an maximum (x,y)-( minimum (x,y) ( Additional Materials eBook Amplitude and Period of Sine and Cosine i r in Termin
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...
1) For each of the following functions, determine: the period the amplitude, if any one pair of successive vertical asymptotes (if there are any at all) the phase (horizontal) shift, saying by how many units and whether to the right or to the left 3 cos 4x a) b) cot (x-) c) sec (x+ 1) d) 1+3 tan mx 1) For each of the following functions, determine: the period the amplitude, if any one pair of successive vertical asymptotes (if...
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