11. Graph each of the given functions in the indicated interval by first finding the amplitude,...
For the functions in questions 7-12, find the indicated values. 7. y - Acos(B(x -3) +4 (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift 2TX 3 (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift -3cos|2|x- 1+0.4 10. У (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift 11. y 2cot(3x) (a) Period (b) Domain (c) Range (d) Zeros (e) Asymptotes y-csc(-1x) 12. (a) Period (b)...
32. Graph the following functions over 2 CYCLES Label the aves [C, 20m] a) y- sinx+60)-3 Amplitude, Maximum Minimum Period (one cycle). Vertical Translation b) y-3 sin [20x-30]-2 Period (one cycle) Amplitude, -Phase shift Maximum- Vertical Translation Minimum
6. (18pts) Find the amplitude, period, and phase shift. Then graph one cycle of the functions: a. y = 3 sin(2x) b. y = -2sin(2x - 2)
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...
Determine the amplitude, period, and phase shift (if any) of the given function, and graph the function. The amplitude is the period is and the phase shift is (Simplify your answers. Type exact answers, using a as needed.)
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
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...
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...
Please solve the following problem. Thank you th 125 HW4 Name: Find the amplitude, period, and phase shift of the given functions. Then graph one cycle of the functions: y = 2 + cos(5x + T) (2) y=1 - sin(2x – 21)
Graph the given functions. DRAW A GRAPH FOR EACH SHIFT (Hint: use the basic graph and then do the shifts) (4pts each) 16. f(x) = 11 -