2. The graph of the function Y = Sin x is transformed by vertically compressing it by a factor of 1 1 3, reflecting it in the y-axis, horizontally compressing it by a factor of 3 , horizontally translating it 8 units to the left, and vertically translating it 23 units down. Write the equation of the resulting graph.

2. The graph of the function Y = Sin x is transformed by vertically compressing it by a factor of 1 1 3, reflecting it in the y-axis, horizontally compressing it by a factor of 3 , horizontally translating it 8 units to the left, and vertically translating it 23 units down. Write the equation of the resulting graph.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

See similar textbooks

Related questions

Q: Graph the equation for values of x between 0° and 360° in multiples of 15°. y = cos(2x) The x…

A: According to the question, graph the equation y = cos 2x, find the value of x between 0 to 360…

Q: When two pure notes that are close in frequency are played together, their sounds interfere to…

A: Given data÷ f1t=cos17t f2t=cos19t ft=f1t+f2t

Q: Determine which of the following equations defines y as a function of x. (a) x-y = 16 (b) x-2y = 8

A: x-y2=16 On simplification, we get ⇒y2=x-16⇒y=±x-16 Clearly for each value of x, there are two values…

Q: Given the equation y = x². (A) On the grid provided, graph this function from x = - 4 to x = 4. (B)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: During his weather report after the last snowstorm, a Baltimore meteorologist reported the low…

Q: Determine whether the equation defines y as a function of x : x = y2

A: The given function is: The given function has to be y=f(x).

Q: The temperature of a chemical reaction oscillates between a low of 20∘C and a high of 100∘C. The…

A: From the given information,

Q: Determine whether the equation defines y as a function of x. y = 1/x

A: Given y=1x

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

Q: 17 Rerer the graphS Delow Interior and Exterior Temperatures ↑T(h) 20 2 10- 12 24 36 48 -10- -20…

A: The cosine and sine form should in the form of Y= ASin(Bx-C)+D or Y=ACos(Bx-C)+D

Q: Suppose you take a ride on a Ferris Wheel that has a radius of 100 feet. The center of the wheel is…

A: Since you have asked multiple questions, we will solve the first three subparts for you. If you want…

Q: Consider the function y = –4 cos (2x-5pi/3)-2 1. Describe the vertical translation. 2. Graph the…

A: (1)

Question

2.
The graph of the function y = Sin x js transformed by vertically compressing it by a factor of
1
1
3, reflecting it in the y-axis, horizontally compressing it by a factor of 3, horizontally
translating it 8 units to the left, and vertically translating it 23 units down.
Write the equation of the resulting graph.

Hand draw the graph of the equation
on a
piece of paper as well.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

2) A 50 foot diameter Ferris wheel is constantly turning at four revolutions per hour. The bottom of the Ferris wheel is 10 feet of the ground. Graph the height of the Farris wheel as a function of time, f(t), if the starting time is when the Farris wheel is at the highest point. Be sure to state the angular frequency, period, amplitude, and midline of the function. Angular Frequency: Period: Amplitude: Midline: 2a)Write a possible formula for the cosine function f(t) represented by the information and graph from question 5.
During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)
Is the graph of y = 2 sin x the same as the graph of y = sin 2x? Explain.
1) Determine whether the equation defines y as a function of x. x = y3
Identify the amplitude, midline, period, of the following function and then write its equation using sine or cosine. Amplitude = Midline = Period = Equation: f(x)%3= 8. f(x) 2-- 10 15 2025 30 35 40 IT: -2-
6. Indicate verbally how the graph of each function relates to the graph of one of the six basic functions then draw the graph. = (x - 3)2 7 b) y 5 c) y = V-x+2 - 3. а) у %3D = -