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1. Which of the following equations corresponds to the given transformations of cosine? Amplitude is four,...
2. For an angle on the plane with vertex at origin and initial side on x-axis,...
2. For an angle on the plane with vertex at origin and initial side on x-axis, when is the angle equal to its reference angle and when is it not equal to its reference angle? In your answer, in 4 – 6 sentences, also briefly describe or define a reference angle. (IF NEEDED HERE IS PREVIOUS QUESTION) 1. Which of the following equations corresponds to the given transformations of cosine? Amplitude is four, period is 2pi/3, right shift pi/6,...
please show all steps The graph of one complete period of a cosine curve is given....
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)).
13. Given y = -3 + 4cos (2x + 5) (a) What is the period? (b)...
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,...
For each defined function, give the amplitude (A), period (P), vertical translation (V), and phase shift...
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)
PLEASE ANSWER EACH QUESTION FOR UPVOTE! THANK U! 1.) Which of the following parametric equations are equivalent to the p...
PLEASE ANSWER EACH QUESTION FOR UPVOTE! THANK U!
1.) Which of the following parametric equations are equivalent to
the polar equation r(theta) = cos(theta) cot(theta)?
A) x = sin^2(theta) and y = sin^2(theta) cot(theta)
B) x = cos^2(theta) and y = cos^2(theta) cot(theta)
C) x = cos^2(theta) cot(theta) and y = cos^2(theta)
D) x = cos(theta) cot(theta) and y = cos(theta)
2.)Which describes the parametric equations x = 2t and y = 4sin
t?
A) y = x^2 + 2...
please help with part b Amplitude, Period, and Phase Shift: From Function. Given a function f(x)...
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...
Given The partial graph of the cosine function below has a minimum post -2 nd a...
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...
1) For each of the following functions, determine: the period the amplitude, if any one pair...
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...
Question 3 Given the function y=x, apply the following transformations and match to the appropriate transformed...
Question 3 Given the function y=x, apply the following transformations and match to the appropriate transformed function. A. y=x²+4 - - Shifty to the right 4 units. Shifty to the left 4 units. B. Y=(x-4)2 - Shift y down 4 units. c.Y= - 4x2 Shift y up 4 units. d.y=x2-4 . • Reflect y across the y-axis and vertically stretch by a factor of 4 4 Vertically stretch y by a factor of 4. E. Y=4x2 F. y=(x +4)
#3 Points possible: 1, Total attempts: O Based on the graph above, determine the amplitude, midline,...
#3 Points possible: 1, Total attempts: O Based on the graph above, determine the amplitude, midline, and period of the function Amplitude: Period: Midline: y- #4 Points possible: 1, Total attempts: O Given the equation y The amplitude is: The period is: The horizontal shift is: The midline is: y- 2sin(6(x -8))+7 units to the Select an answer #5 Points possible: 1 . Total attempts: 0 Given the equation y 3 sin(7z- 42)+8 The amplitude is: The period is: The...
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)).
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,...
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)
PLEASE ANSWER EACH QUESTION FOR UPVOTE! THANK U!
1.) Which of the following parametric equations are equivalent to
the polar equation r(theta) = cos(theta) cot(theta)?
A) x = sin^2(theta) and y = sin^2(theta) cot(theta)
B) x = cos^2(theta) and y = cos^2(theta) cot(theta)
C) x = cos^2(theta) cot(theta) and y = cos^2(theta)
D) x = cos(theta) cot(theta) and y = cos(theta)
2.)Which describes the parametric equations x = 2t and y = 4sin
t?
A) y = x^2 + 2...
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...
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...
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...
Question 3 Given the function y=x, apply the following transformations and match to the appropriate transformed function. A. y=x²+4 - - Shifty to the right 4 units. Shifty to the left 4 units. B. Y=(x-4)2 - Shift y down 4 units. c.Y= - 4x2 Shift y up 4 units. d.y=x2-4 . • Reflect y across the y-axis and vertically stretch by a factor of 4 4 Vertically stretch y by a factor of 4. E. Y=4x2 F. y=(x +4)
#3 Points possible: 1, Total attempts: O Based on the graph above, determine the amplitude, midline, and period of the function Amplitude: Period: Midline: y- #4 Points possible: 1, Total attempts: O Given the equation y The amplitude is: The period is: The horizontal shift is: The midline is: y- 2sin(6(x -8))+7 units to the Select an answer #5 Points possible: 1 . Total attempts: 0 Given the equation y 3 sin(7z- 42)+8 The amplitude is: The period is: The...
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