In Exercises 55-58, graph each function, not by plotting points, but by starting with the graph of one of the standard functions presented in Figures 1.15–1.17, and applying an appropriate transformation. 55. y 56. y = 1 - 57. у — + 1 58. y = (-5x)!/3 2r

Q: Sketch one cycle of the graph of y=2sin(2x−π/3) At which x-values does the function take its…

A: This is nothing but the sin graph  having its amplitude two times

Q: If f(x)f(x) is a function, how is the graph of g(x)=2f(x-5)g(x)=2f(x−5) is different from the graph…

A: we use function transformation

Q: In Exercises 35-38, use the graph of f to draw the graph of its inverse function. 35. 36. 4- 3- 4- 3…

A: We’ll answer the 35th question since we answer only one question at a time. Please submit a new…

Q: 1. If a function is shifted 3 units up. How is each input value and each output value affected by…

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Q: Use transformations to sketch the graph of the function. y − 2sin 2x

A: Given: y = 2sin 2x

Q: When trying to graph a function /(<) = -¿A2x + 6), which transformation should be applied last? a) a…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n…

Q: Use transformations to graph the function. IU -121-10-9-

A: We have to find the graph using transformation

Q: Describe a sequence of transformations, in correct order, that will transform the graph of the…

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Q: page 3 16) write hix)= 91+x functions. camposition ftwo

A: I have defined to function f and g written h=g°f

Q: What are the three basic types of function transformations?

A: Transformations are ways that a function can be adjusted to create new functions.

Q: In Exercises 65–67, graph each linear function. 65. f(x) 3 --x + 3 (Section 2.4, Example 5) 66. -2x…

A: 65. Given linear function is: fx=-34x+3 The corresponding graph is given below:

Q: In Section 1.6, we will learn additional techniques to graph functions by recognizing…

A: "Since, you have asked a question with multiple subparts, we will solve the first three for you. If…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: As we know that: The standard equation of the parabola is: x-h2=4ay-k Where: vertex is at h,k   From…

Q: If we use reduction to order method, which pairs of transformations canbe used for y'

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Q: 2- Correctly identify the end behavior of the graph of f(x). O 1+ 00, f (r) 00; -00, (x) → - 00 O 1…

A: We need to find the end behaviour of the graph shown above.

Q: 4. Suppose f is a bounded periodic function. Of our standard graph transformations, which ones…

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Q: Suppose (−4,1) is a point on the graph of y=f(x). What is a point that will be on the graph of…

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Q: 6. Determine the domain and range of the graph of the transformed function shown. * 2

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Q: What is the function that results from the transformation ?

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Q: Is {(1,1), (2, 2), (3, 3), (4, 4)} a function? (Section 2.1, Example 2)

A: Solution:Given Is (1,1),(2,2),(3,3),(4,4) a fuction

Q: Section 3-1: The Definition of the Derivative 10. Z(1) = V3r – 4

A:

Q: Find a function whose graph is a parabola with vertex (1, −3) and that passes through the point (5,…

A: The parabola has a vertex at ( 1, -3) and passes through a point ( 5, 13 ).That is, (x, y) = ( 5,…

Q: The graph of a function contains the points (6, 7) and (10, 13). Which statement is correct based on…

A: Given points of the function: (6, 7) and (10, 13)

Q: Sketch the graph of f(z) = logo6(z) 3.

A: Givenf(x)=log0.6x-3

Q: Use transformations to graph the function. |-- IU -121-10-9-5-

A: Here is the solution of the given problem.

Q: Exercises 13-18: Find an equation that shifts the graph of f by the desired amounts. Do not…

A: 13). Given fx=x2. To find the equation that shifts the graph of f by 2 units right and 3 units…

Q: In exercises 40-54, graph each function, not by plotting points, but by applying appropriate…

A: First plot the standard function that is y=x3 :

Q: write a possible transformation in function that will transform the ordered pair (-1,4) to the…

A: Transformations.

Q: reflection across x= -3

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Q: In Exercises 7–12, describe the transformation of frepresented by g. Then graph each function.

A: The objective here is to describe the transformation of f represented by g. For part 11:…

Q: What Transformation will take LHGF to ZGCB? Write the description in function notation. y=

A: (a) The objective is to find the transformation which take ∠HGF to ∠GCB. From the graph it is seen…

Q: Exercises 126–128 will enable you to review graphing linear functions. In addition, they will help…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 14. Use transformation theory to graph the function g(x)= 2(x+1)° – 1.

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Q: 2. Sketch the graph of a function with domain D = (-o, -2) U (-2, 2) U (2, 00) and Range R= [-5,…

A: Given domain is (-∞, -2) U (-2,2) U (2,∞) That means x=-2 and x=2 are not in the domain.  This means…

Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Q: Sketch one cycle of the graph of y=3cos(3x−π/2) At which x-values does the function take its…

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Q: State the transformations in the proper order for the function y =-3sin %3D ++20°

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Q: メ ナ 7. 11 メ

A: Given query is to find the derivative of the expression.

Q: Describe the transform steps to obtain the graph of g(x)=√x+5-3 from the graph of f(x)=√x

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Q: Find a function whose graph is a parabola with vertex (2,3) and that passes through the point (3,6).

A: To determine the function.

Q: Use transformations to graph the function. 1 n (x) = - 2 12- 10- 8- 7- 6- 5- 4- 12-11-10-9-8-7-6-5…

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Q: In Exercises 19–24, use the graph off to find each indicated function value. y y = flx) 19. f(-2)…

A: Consider the given figure

Q: 4. Sketch a graph of the function Describe the transformations to the graph of y = x³

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Q: In Exercises 69–76, graph each function, not by plotting points, but by starting with the graph of…

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Q: Write a rule to describe each transformati

A: Given a function f(x),a new function g(x)=f(x)+k,where k is a constant, is a vertical shift of the…

Q: 4. The point (7, 4) is transformed to 5. Sketch the graph of g(x) = f(– ¤ – 1) – 1. 6. 10 -9 Clear…

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Q: Identify the maximum and minimum values of the function y=10cosx in the interval [-2pi, 2pi]. Use…

A: Our objective is to find the minimum and maximum value.

Q: In Exercises 1-6, write the function whose graph is the graph of y = |x), but is transformed…

A: Transformation of graphs is a process of obtaining graph of function whose equations are modified in…

Q: use example 3.18 to contrust a table that describes the function H

A: To form the table, first take all the pairs in ℤ5×ℤ5. The following table gives the set of all…