1. The graph of f(x) is given belowa. Consider the function g(x) = -2f(x + 5) - 3.Use the table below to list the transformations of f(x) in the correct order.List of transformationsa.1.2.3.4.b. Sketch g(x) = -2f(x + 5)-3 on the same graph.-10 -8 -6 -410864-22-2-4-6-8-10y=f(x)68 102. Consider the function g(x) = -√√x+4-3Identify the basic function whose transformation is g(x)b. List the sequence of transformation in a mathematically correct order

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.2: Transformations Of Quadratic Functions

Problem 49PFA

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(a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________ (upward/ downward) 1 unit. (b) To obtain the graph of h(x)=2x1 , we start with the graph of f(x)=2xand shift it to the (left/right) 1unit.
Suppose a transformation of the parent function f(x) = 10^x is given as g(x) =10^x -8. Determine the effect the transformation has on the minimum function of the interval [0,10]
2. The function f (x) is converted into the function g(x) = −0.5 f[−3(x + 2)]+ 4. List in a valid order of transformations. Show your work
If f(x) = x2 and g(x) = -2(x-3)2-4 Identify the stages that transform f(x) onto g(x) Transformation -1 Transformation -2 Transformation -3 Transformation -4
What transformations are needed in order to obtain the graph of g(x) from the graph of f(x)? Select all that apply.
Suppose that the function y = f(x) is increasing on the interval [- 1, 5].(a) Over what interval is the graph of y = f(x + 2) increasing?(b) Over what interval is the graph of y = f(x - 5) increasing?(c) What can be said about the graph of y = - f(x)?(d) What can be said about the graph of y = f( - x)?
Suppose that two employees at a fast-food restaurant can serve customers at the rate of 6 customers per minute. Further suppose that customers are arriving at the restaurant at the rate of x customers per minute. Then theaverage waiting time T, in minutes, spent waiting in line and having your order taken and filled is given by the function T(x) = - 1/(x - 6) , where 0 < x < 6. Graph this function using transformations.
The function f(x)=log3xf(x)=log3⁡⁡x is transformed by the mapping statement f(x)→f(x−1)−1f(x)→f(x−1)−1. Part A: Will the transformation affect the intersection of f(x)f(x) and the line y=1y=1? Why Part B: Which graph illustrates this transformation, where f(x)f(x) is the preimage and g(x)g(x) is the image? Select one answer that correctly answers both questions in Part A and select one answer for Part B.
The parent cube trot function y = f(x) is shown on the left and a transformation g(x) of that function is on the right WHICH statements are FALSE about the function g(x)?
Consider the transformation of the function f(x)f(x) given by g(x)=−7f(−8x).g(x)=−7f(−8x). If the point (−10,4)(−10,4) is on the graph of f(x)f(x), what point must be on the graph of g(x)g(x)?
4. Describe the transformation in this function:f (x) = −(x − 4)+ 3
1. Sketch a graph of a function that is negative on(0,2), increasing on [2,4], and has x-intercepts at x=0,2, and 5. 2.Sketch a graph of a function f such as that f is always decreasing and f(x)>0 for all real numbers x. 3. Can h be obtained from f by transformations? What transformations are needed? f(x)=(x+2)^2 h(x)=(x-2)^2+5

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1. The graph of f(x) is given below a. Consider the function g(x) = -2f(x + 5) - 3. Use the table below to list the transformations of f(x) in the correct order. List of transformations 1. 2. 3. 4. b. Sketch g(x) = -2f(x+5)-3 on the same graph.