KABeginning with the graph of y= sinx, use shifting and scaling transformations to sketch the graph of thefollowing function. Use a graphing utility only to check your work.instructorp(x)=3 sin |2x -+1Use the graphing tool to graph the function.Click toenlargegraph(Type the word pi to inUse the given interactions to edit the selected curve.2xAy4244A~VSBEEFFEFETESE---DeleteClear?XEditing: Sinetool10-2101AmplitudeVertical ShiftAReflect over x-axis2πo6-4-2-244PeriodHorizontal ShiftReflect over y-axisX-2xClear allCheck answer9:59 PM

In this question, we will draw the graph of the trigonometry functions.

Answered: A Beginning with the graph of y=sinx,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 1E

See similar textbooks

Similar questions

According to the Old Farmer’s Almanac, in Anchorage, Alaska, the number of hours of sunlight on the summer solstice of 2010 was 19.42 and the number of hours of sunlight on the winter solstice was 5.48. (a) Find a sinusoidal function of the form y=Asin(ωx- ϕ)+B that models the data. (b) Use the function found in part (a) to predict the number of hours of sunlight on April 1,the 91st day of the year. (c) Draw a graph of the function found in part (a). *(d) Look up the number of hours of sunlight for April 1 in the Old Farmer’s Almanac,and compare the actual hours of daylight to the results found in part (c).
Create a sinusoidal function that has an amplitude of 4, minimum at 2 and horizontal phase shift of 45 degrees. Give an equation of above function. Identify a, k, d, and c value. List all the transformations.
Consider the ecuation. Where a,b,c ,d are given regular functions. If the equation is hyperbolic in G, then there are two functionally independent characteristic curves of the equation. If the equation is parabolic in G, then there is only one characteristic curve of the functionally independent equation. If the equation is elliptical in G, then the equation has no curves characteristics (real).
A windmill spins at a rate of 15 rpm (Revolutions per minute). Its arms are 3 m long and its center sits 12 m above the ground. A caterpillar clinging to the edge of an arm will experience periodic motion. Let ‘h’ represent the height of the caterpillar from the ground. What is the period of the rotation? Using methods taught in grade 12 advanced functions
A cable hangs between two poles of equal height and 30 feet apart. Set up a coordinate system where the poles are placed at x=−15 and x=15, where x is measured in feet. The height (in feet) of the cable at position x is h(x) = 17cosh(x/17) where cosh(x) = (e^x+e^-x)/2 is the hyperbolic cosine, which is an important function in physics and engineering. The cable is ______ feet long?
Given the function y= -4sin(3x-45)+2, (a)state the mapping rule (b) state 5 critical points of the function y=sinx and their new location under the transformations given by y= -4sin(3x-45)+2 (c) sketch the function y= -4sin(3x-45)+2 showing two complete cycles
Analyzing the functions below, compare and contrast the two functions in each problem situation. Be sure to use complete sentences in your comparison. Be sure to include a discussion of similarities and differences for the periods, amplitudes, y-minimums, y-maximums, and any phase shift between the two graphs. Use the rubric below as a guideline for your solutions. y= 4sin(2x-π) and y=cos(3x- π/2)
Find all points (if any) of horizontal and vertical tangency to the curve x = cos2 θ, y = cos θ. Use a graphing utility to confirm your results.
A water wheel has a broken bucket like in the diagram below.The height of the broken bucket, in meters, above the surface of the water, y, after x seconds can bemodeled by the function shown below. y = 3.2sin(0.42x - 2.1) +1.9 5. In each rotation, the length of time that the broken bucket is visible above the surface of the water can befound by analyzing theA. y-interceptB. period of the functionC. difference between the two smallest positive x-interceptsD. difference between the maximum value and the minimum value of the function 6. The diameter of the water wheel is the A. y-interceptB. period of the functionC. difference between the two smallest positive x-interceptsD. difference between the maximum value and the minimum value of the function
A water wheel has a broken bucket like in the diagram below.The height of the broken bucket, in meters, above the surface of the water, y, after x seconds can bemodeled by the function shown below. y = 3.2sin(0.42x - 2.1) +1.9 5. In each rotation, the length of time that the broken bucket is visible above the surface of the water can befound by analyzing theA. y-interceptB. period of the functionC. difference between the two smallest positive x-interceptsD. difference between the maximum value and the minimum value of the function
Create and sketch (by hand) a sinusoidal function that fits the following criteria: Amplitude greater than 5 Midline value greater than 5 Max greater than 20 Minimum lower than 10 A non-zero phase shift Period of either 43 or 116 explain how you are graphing it and how the equation you created satisfies all the criteria above. Part 2: Using that function you created, model after a real-life application and create a word problem. Then use the function to solve the problem. Examples of real-life application include tide, ferris wheel, weight on a spring, etc. No graphing technology may be used for this assignment. You must graph the function by hand. A well-drawn sketch of the function is also acceptable. Think: What is necessary when graphing? What do you need to include?
Create and sketch (by hand) a sinusoidal function that fits the following criteria: Amplitude greater than 5 Midline value greater than 5 Max greater than 20 Minimum lower than 10 A non-zero phase shift Period of either 4pi/3 or 11pi/6 explain how you are graphing it and how the equation you created satisfies all the criteria above. Part 2: Using that function you created, model after a real-life application and create a word problem. Then use the function to solve the problem. Examples of real-life application include tide, ferris wheel, weight on a spring, etc. Show a hand drawn graph

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS