The graph of f(a) shifted right 3 units and shifted down 5 units. Of(r). 3-5 Of(x)= -3+5 Of(x)=√x+3-5 f(x)=√x+3+5 The graph of f(x) stretched vertically by a factor of 5. O f(x)=√√√2 1 Of(x) VZ - - f(x)=√5x Of(x)-5√
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- In Problem, find the function that is finally graphed after each of the following transformations is applied to the graph of y= √x in the order stated.The function f(x)=log3xf(x)=log3x 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.Review Question 24 I need help and the answers for finding F(x), F(2), and F(3)
- The graph of the function y = x4 is transformed to the graph of the function y = –2(x – 3)4 + 1 by Question 19 options: a) a vertical compression by a factor of , a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up b) a horizontal stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up c) a vertical stretch by a factor of 2, a reflection in the x-axis, a translation of 3 units to the left, and a translation of 1 unit up d) a vertical stretch by factor of 2, a reflection in the x-axis, a translation of 3 units to the right, and a translation of 1 unit upIf n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?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.
- Graph the function by hand, not by plotting points, butby starting with the graph of one of the standard functions andthen applying the appropriate transformations. y= - 3√xQuestion 6 Find the vertex of the given quadratic functions. Describe the location as a transformation ofthe original function f(x)=r?. (Choose 2)In two or more complete sentences, compare the number of x-intercepts in the graph of f(t)= t^2 to the number of x-intercepts in the graph of g(t)= (t+3)^2. Be sure to include the transformation that occurred between the parent function f(t) and its image g(t)
- Question 2 Let g(x) = −3(2x − 2)3(x + 1)(x2 + 1). (a). What is the leading term of g(x)? (b). Determine the end behavior of g(x).As x → −∞,...... As x → +∞, ......... please help me with them allIf 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 -4A researcher believes that if x thousand individuals among a susceptible population are inoculated (made no longer susceptible to a disease), then a function of form I(x)=a⋅R^x−b for constants a, b, and R would model the eventual number of infected individuals (also in thousands). Let R=0.9 (a) If the susceptible population is 5000 and no one is inoculated, how many will eventually be sick? . What point does that imply should be on the graph of the function I(x)? ( , ) (b) If the susceptible population is 5000 and everyone is inoculated, how many will eventually be sick? . What point does that imply should be on the graph of the function I(x)? ( , ) (c) Use the results of parts (a) and (b) to find approximate values for the constants a= ( ) and b= ( ) in the researcherâs model. (d) According to the model, how many susceptible individuals will be infected if half of them are inoculated?