Use the following information to answer the next question Consider the following transformations on the graph of y = f(x) where the graph f(x) does not pass through the point of origin. |y = f(4x) | y =4f(x) y = f(-x) II IV y =-f(x) 16. Which transformations will have no effect on the x – intercepts of the original graph of y = f(x)? Ol and IV only Ol and III only Oll and III only Ol and IV only

Q: a) A train's path can be modelled by the equation 2 y=-3x+4 What is the closest distance between the…

A: (a) y=-23x+4let the parametric point on the train's path is t,-23t+4 distance between house…

Q: 1. Consider the function f(x) =-2(3x– 3)* + 1. a) State transformations. b) Use TWO of the following…

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Q: State the transformations that occur like how many points they move up, down, left, right 1.…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Use the following information to answer the next question -5 27 Your answer: 5 -5- y=f(x) 5 Using…

A: We need to calculate the number of invariant points that would result after the transformations:…

Q: 8. Find the parent function, list all of the transformations in the correct order and sketch the…

A: From the given function it can be determined the parent function.

Q: 1) Given g(x) = ¹. Explain the transformation and Sketch f(x) = -2g(2x - 2) - 4 make sure to show…

A: Let us consider the function f(x)=1x

Q: Based on the graph y=f(x) given, (see attached picture). Sketch the graph of the transformation on…

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Q: For the following question, use the key points of the parent function to perform transformations.…

A: Given that: f(x)=x3g(x)=12f(-x+2)-4

Q: 5. Describe the transformation made from the parent function f(x) = x³. (Use the terms shift,…

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Q: The following image shows the graph of the function y = f(x) what is the new location of point…

A: The following image shows the graph of the function y = f(x) . We need to find  the new location of…

Q: The graph of y=−(x+5)3 is the graph of y=x3 with which of the following transformations?

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Q: 2. How do the graphs of y = X and y = Hint: Think of transformations of functions x-3 compare?

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Q: 4. Use transformations to sketch the graph of the function (a) y x²-2x-2 (b) y = ex+1-1

A: Step 1:(a) y=x²−2x−21. Start with the basic function: y=x² 2. Shift the graph horizontally:The…

Q: Suppose the point (2, -3) is on the graph of y x). Find the corresponding point on the following…

A: (a) y=fxPoint 2,−3 is on the curve y=fxSo, f2=−3y=−13fx+5x+5⇒x−5For x=2 , x-coordinate is…

Q: 2) Let g(x)=2x+2 - 3. Using transformation to sketch the graph for g(x).

A: This is how the graph looks for the given function.

Q: If the domain of the function y = f(x) equals (-1,5] U [8, 10], what is the domain of the new…

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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: Use transformations of f(x) = to graph g(x) = (x+ 3)?

A: topic - transformation

Q: Suppose the point (4, -7) is on the graph of y = f(x). Find the corresponding point on the following…

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Q: Describe the transformation of the y=-3(2)*+1. Sketch the graph On the graph you sketched, mark…

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Q: Q#4: Sketch the graph by transformation. Find the domain and range from the graph. a=5 a) f(x) = (x…

A: 4. given                                       a=5 (a)…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.