For problem 3-4, state the amplitude, the period, the phase shi (if any). Write the equation of the graph located between the two points Amplitude Period 4 Amp P.S. V.S. P.S. it

Q: If the graph of the equation y= sin(x) is to be modified to shift it to the left by 2 units and…

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Q: Given the equation y=4csc(5π/4(x)−15π/4) 1. PERIOD 2.HORIZONTAL SHIFT

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Q: For problems 4 and 5, you were to compare and contrast the two functions in each problem situation.…

A: 4. Red graph is for y= 3sin(2x) Blue one is for y= 3cos(2x)

Q: Write the equation for a cosine function with amplitude 8x, period 1, and phase shift - 2.

A: The cosine function has amplitude 8π, period 1 and phase shift -2

Q: Problem 3. If the temperature of the body drops from 120° C to 80° C in 15 minutes when the…

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Q: Given the equation y : = 8 tan(2x - 6) The period is: The horizontal shift is: Question Help:…

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Q: Question 7 Write an equation for the function graphed below 2. 4. 主 主 羊 y3D

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Q: graph , find the amplitude, period and phase shift y= -1/2 sin (x- pi/2)

A: The standard equation of a sine function is  Y=A sin(Bx-C) + D  Now , y= -1/2 sin (x- pi/2) Or, y=…

Q: Graph y = -4 sin x X BE

A: Here , y=-4 sin x is given so, the amplitude is 4

Q: For y=-2sin 3x- +4, find the amplitude, period, horizontal shift, and midline equation. 2

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Q: For the following graph, state A) the period, B) the amplitude and C) the equation of the axis.…

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Q: Question 21 Based on the graph above, determine the amplitude, midline, and period of the function…

A: Given query is to find amplitude, midline and the period.

Q: r= sin 0 + 2cos² 0

A: Given curve is r=sinθ+2cos2θ

Q: Give the amplitude and period of each of the following graphs:

A: The following graph:

Q: Give the amplitude and period of the following graph. amplitude period y X 2 -2 3. 21

A: Given graph:

Q: For the graph of the equation, identify the amplitude, period, phase shift, and vertical shift. Do…

A: Given,            y=-4sinπx-1+5To find : The amplitude, period, phase shift and vertical shift

Q: Find period,phase shift, domain and range of y=tan1/2(2x+π/4)-2

A: Find period, phase shift, domain and range of y=tan1/2(2x+π/4)-2

Q: . Graph y = |sin x | , - 2π ≤ x ≤ 2π

A: The given function is    y = |sin x | , - 2π ≤ x ≤ 2π

Q: Which one of the following graphs shows all of the following features? Period of 12, Amplitude of 3,…

A: In this question, we want to identify the graph which satisfy the given features.

Q: QUESTION 3 Find an equation for the graph. O y = 5 sin (3TTX) 77 y=5 sin지 y = 3 sin х Oy = 3 sin…

A: Let's find.

Q: For this equation  y = 4 sin ( x-60) + 2 graph the following sine functions and state the…

A: For better understanding; 60 as π/3. y = 4 sin ( x- π/3) + 2   draw a figure to scale referring to…

Q: Graph two periods of the function. v=2-4 sin

A: Consider the function: y=2+4sin(π2x) Comparing the given function with standard function,…

Q: What does the midline, period, amplitude, and horizontal shift of a graph represent in the real…

A: Amplitude is the vertical distance between the midline and one of the maximum or minimum points. We…

Q: Graph the following function.  y = 1/3 sec πx/3 Also state the period of the function.

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Q: If the graph of the equation y= sin(x) is to be modified to shift it to the left by 2 units and…

A: Solution ) y = sinx Shifted left by 2 unit  y = sin ( x + 2 ) Translate it down by 3 unit  y = sin (…

Q: If the sine function whose graph is the graph of TT y = -2 sin 2 (x – 4) + 1 shifted units to the…

A: Given: The graph of function y=-2sin2x-π4+1 is shifted π2 units to the left and 3 units upward, To…

Q: What are the amplitude and the period of the graph represented by the equation y = -3 cos ? A.…

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Q: If the graph of the equation y cos(x) is to be modified to triple the amplitude and to double the…

A: Given: Triple the Amplitude and double the period

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: Given y=3 cos x+3π-2 Compare the equation with a cos(bx-c)+d to find the variables to find the…

Q: For each problem graph at least two periods of each fur shift. 1. y = 3 sin (x -)- 1 Amplitude…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Question 14 Assume the velocity of a person traveling along a straight hiking trail is given by the…

A: A Graph between velocity vs time is given. It is known that,  displacement=velocity×time Therefore,…

Q: Find the exact value, in radians, of the expression cos - 1 (- 1). Use a graph to help picture the…

A: Given: cos^-1(-1)

Q: Write the equation of a cosine function with an amplitude of 4, a period of 8, a phase shift right…

A: The answer is found in step-2

Q: y 2 Ал -3

A: For a sine function the Period goes from one peak to the next and the Amplitude is the height from…

Q: If the sine function whose graph is the graph of y = -2 sin 2 (x – -) + 1 shifted 4. units to the…

A: To find the equation after the transformations given

Q: Problem 2. Outside temperature over the course of a day can be modeled as a sinusoidal function.…

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Q: Use your answers for Problems 41 through 46 for reference, and graph one complete cycleof each of…

A: Given: y=1 sin 2x-π

Q: Graph the equation: y= 2 sin (x+)-2 Identify the amplitude, phase shift, period and the vertical…

A: Given function

Q: Sketch the graph of the equation.

A: Sketch the graph of the equation.        y=2tan12x-π

Q: Question 4 Draw the following graph on the interval - 225° < x < 165°: y = sin(x – 60°) -210 -180…

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Q: y=D2-tcos(Tt + 플),- < ax < 쁠 15

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Q: Sketch the graph of the equation.

A: If y=AsinBx+C+D then Amplitude: A Period: 2πB Phase shift: C (Positive is to the left) Vertical…

Q: .Graph one cycle for the function y = 2 sin(2x + 7). Make sure to indicate the period and phase…

A: Given: y = 2 sin2x+π2 To graph: The one cycle for the function and to indicate the period and phase…

Q: 2. For each equation determine and state the a) amplitude; b) period; c) phase shift; d) vertical…

A: Y=sin3x a)amplitude is the maximum magnitude it can have. Amplitude =1 since it’s a sine curve…

Q: Find the following: Period:______ Amplitude:________ Equation of axis:_______ b) Which one of the…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.