The graph of y = f(x) passes through (0, 1), (1, 3), and (2, 0). Through what three points will the graph of y = f(x + 2) – 1 pass?

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: The point ( – 8, 20) is on the graph of y = f(x). %3D 1 a. A point on the graph of y = g(x), where…

A: see below the answer

Q: 3. The graph y = f(x) is transformed to produce y = 4f(-4x+12)-10. If the point (8, -2) was on the…

A: As the graph of f(x) is not provided. It can't be solved.    But for your reference I am attaching…

Q: Sketch the graphs of y = xn and the transformation. y = x4, f(x) = 6 − x4

A: the given function is y=x4 , f(x)=6-x4

Q: 3. Let f(x) = In (5x² + 2x). %3D Graph both f (x) and f'(x) with your graphing technology. Find…

A:

Q: If the point (12, 24) is on the graph of y = f(x), then what point must be graphs of each of the…

A:

Q: The graph below shows a transformation of y = 2"

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Q: 16. Use transformations to sketch the graph of f(x)= vx- 3+2.

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Q: Use transformations to graph the function. 1) y = 5 sin x 2+ X -70 2n -4- -6- 2

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Q: Graph t(x) = (x – 2)³ + 1 by starting with the graph of y = x³ and using transformations.

A: We know that the graph of y=x3 can be plotted on co-ordinate axis as

Q: 7. Sketch a graph of the function c(x) = (½x)³ – 1. Describe the transformations to the graph of y =…

A: Given query is to find the graph of the function and provide transformation used.

Q: 5. Consider the graph of y = f(x) below. On the same set of axes sketch a clearly labelled graph of…

A:

Q: Explain the two transformations that occur to the graph of y = Vx to produce the graph of y =-Vx +2.

A: Given:            y=x  to   y=−x+2.

Q: The point (-9,-2446) is on the transformed function f(x)=7[1/2(x-5)]^3-45 use the transformation…

A: Given problem is : The point (-9,-2446) is on the transformed function f(x)=7[1/2(x-5)]^3-45 use the…

Q: Based on the graph of y = |x|, plot the graph of y =x - 5|+13 using transformation technique. Plot…

A: We have to solve question 5 as you mentioned. We have to find the plot for the transformed function…

Q: Graph y = 2(x + 1) 2 - 3 using transformations

A: Given: y=2x+12-3

Q: 16. Graph using transformations. y=-3(x-4)' +2 Show each transformation.

A: Given function:                        y= -3(x-4)2+2

Q: The graph below shows a transformation of y = 2".

A: Given,          An equation of the form y=A·2x+k for the graph shown below:

Q: Your friend attempted to graph the equation f(x)=-2cos(1/3(x-60))+3. Based on their graph of the…

A: The base function is  where x is in degrees Now we have the transformation So, the amplitude of the…

Q: If f(x) = 2x² – 3x + 1, use transformations to graph y = -f(x) and y = f(-x).

A: Given, f(x)=2x2-3x+1 To graph: y=-f(x)  =-2x2-3x+1  =-2x2+3x-1y=f-x  =2-x2-3-x+1  =2x2+3x+1 So,…

Q: Below is the graph of y = x Transform it to make it the graph of y =-x-2+1. 4 -2- -4- 6- 2,

A: solution is given below..

Q: Describe how the graph of y=-2f|3(x– 4)|– 5 can be obtained from the graph of f(x) = x*. Be su co…

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Q: 7. Given that the point (2, 7) is on the graph of y = f(x) then what point must be on the follov…

A: (a) The transformation for y = - f(x) is is reflection of point over x-axis. The point 2,7 lies on…

Q: 6. Sketch a graph of f (x) = 2/-a +5 as a transformation of y = Va Ser

A: First draw the basis graph then use the transformation to get the final result

Q: Sketch the graphs of f(x) = 2* and g(x) = 3(2*). y y 3.0 3.0 2.5 2.5 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5…

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Q: The graph below shows a transformation of y = 2 5+

A: answer is in next step . please give a like !!

Q: The point (– 14, – 10) is on the graph of y = f(x) . %3D a) A point on the graph of y = g(x) , where…

A:

Q: If f (x) x, choose the transformation that matches the graph depicted below. 4 3 2 1 2 3 4

A: The parent function is -  f(x) = x2  We have to state the transformation that gives the resultant as…

Q: | 2||| – 1 |æ| – 1 Draw the graph of the function y = by shifting method. %3| -

A: we can draw the given curve by shift method is

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

A:

Q: Below is the graph of y= x Transform it to make it the graph of y= -2. 24

A: Given is the graph of y=|x|. The graph y=-12|x|-2 is the transformation of y=|x|. The transformation…

Q: Graph the equation : y = √(x + 2) - 1; Use transformations of the graph ofy = √x.

A: Given: fx=x+2-1, gx=x graph of fx by using graph of gx can be drawn as below here, blue one is…

Q: (2) The graph of f(x) = is the transformation of the graph of y = -'x shifted (A) 2-units left and…

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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: The graph y = f(x) is transformed to y = -f(x + 3) - 2. Which describes the effect of the…

A: Transformation of graph is very significant in studying the analytical nature of a function. The…

Q: The graph of y Df(x) is shown below. The graph of y = f(x) is to be drawn on the same coordinate…

A: We will first draw the graph

Q: Sketch the graph using the transformation process. f(x) = 3e1-x + 2

A: Given: The function is f(x)=3e1-x+2. Consider the function f(x)=ex.

Q: Which sequence of transformations takes the graph of y = f(x) the graph of 1 f (x – 2) y = ?

A: Transformation of graph

Q: The graph of y = f ( x ) + k gives a   _______________ ["shrink", "vertical", "stretch",…

A:

Q: Below is the graph of y: Transform it to make the graph of y =- X-1 %23

A: The parent function is the simplest form of the type of function given. y=1/x   For a…

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: Exercises 53-62. Use transforma- tions to explain how the graph of f can be found by using the graph…

A: Topic = Functions

Q: Sketch the graph of f(x) = -(x-3)2  + 4 using standard transformation techniques.

A: Suppose the basic function is y=x2 Now, The graph is

Q: Sketch a graph of the function c(x) = (½x)3 – 1.  Describe the transformations to the graph of y =…

A: Given query is to find the transformation and sketch the graph.

Q: 2. Given the graph of y =f (x)below, on the same set of axes draw a graph of y - 2 (x -1)-3…

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Q: The graph of y=4f(x−5) is the graph of y=f(x) Describe transformations of graphs

A: Given: The graph of y = 4 f(x-5) is the graph of y = f(x). To determine: The transformation of the…

Q: 13 Graph f(x) = 3ª, and use transformation to sketch the graph of a) g(x) = 3-* b) h(x) = 3"-2

A: Introduction: For a given parent function, we can construct different new functions by transforming…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.