7. Given the function f(x) = -3 sin (2(x – 5) + 1, 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...
please answer 18 , 19, 20 (a) wrtical shift gonitsup (e) Horizonial shift 9 wnits to the right (e) Nose of these (d) Horisomal shift 9 units to the lefi Find the amplitnde, pesiod or phase shif. Find thn period of y-l sin|4x+ A)3 D) Find the phase shift ofy--3-2sins tothe left B)끔tothe night A) ) π to the right 어tothe 끝tothe left D tothe right Find the amplitude of y-4 sin 2 C) 4 B) 3 A)-12 D) Use...
Find the amplitude, period, and phase shift of the function. y = 2 sin(x - 1) amplitude period phase shift Graph one complete period. у 1 V 2x 2x -2 0-31 31 Graph one complete period. 2 2x 21 0-31 AN - 2
2. The function of f(x) is given by TT X+ - 1<xs- 2 7 π -X, <x< 2 2 π X-TT, f(x)= <x<s, 2 f(x+27). a) Sketch the graph of f(x) for the range -1<x<. b) Based on a), determine the type of function f (x) and state your reason. c) Find the Fourier series of f(x).
5. Find the period phase shift of the function. y = 5-3 sin (4x+17
1. Determine whether the function f(x) = (x2 - 1) sin 5x is even, odd, or neither. A. Even B. Odd C. Neither 2. a). Find the Fourier sine series of the function f(x) shown below. b). Sketch the extended function f(x) that includes its two periodic extensions. TT/2 TT Formula to use: The sine series is f(x) = 6 sin NIT P where b. - EL " (x) sin " xd
QUESTION 13 5 POINTS Determine the magnitude and direction of the vertical shift and the phase shift for the function below. f(x) = sin(x - 5) - 6 Select the correct answer below: The vertical shift is units up, and the phase shift is 6 units to the right. O The vertical shift is 6 units down, and the phase shift is units to the left. O The vertical shift is 6 units up, and the phase shift is units...
given the equation of the function, find the requested information 3. y=5-2 sin Midline: Amplitude: Maximum: Minimum: Period: Phase shift: Domain: Range: 4. y = 4cos C) +3 Midline: Amplitude: Minimum: Maximum: Period: Phase shift: Domain: Range:
a. e. b. f. 7. Given the function f(x) = 4(2)* - 3 , the equation of the horizontal asymptote is a. X=-3 e. y=-3 b. X=4 f. y = -2 c. X= 3 g y = 2 d. y = 0 h. none of these 8. If we apply the mapping (x,y) → (x-3,- 2y + 1) to f(x) = (3)* , the equation of the image is y = 2(3) *-3 + 1 y=-(3)*+2 + 1 =-2(3)*+3+1 y=-2(3)*+3...
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6. I. Evaluate: a) f(-2) b) f(-1) c) f(o) II. Graph the function f(x) 5 2 -3 -5 7. Expand the following logarithmic expression using the properties of the logarith Assume all variables are positive. In Ve , find sin θ and tan θ, where θ terminates in the third quadra If cos θ 8. -2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6....