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Differential Equations and Linear Algebra (4th Edition)
- The point (-9,-2446) is on the transformed function f(x)=7[1/2(x-5)]^3-45 use the transformation formula (x,y = x/k+d, ay+c) to find the original point of the parent function.arrow_forwardDescribe the transformations of Y=-5sin(2x) And Y=2cos(x-45)+3arrow_forwardState whether the following functions can be graphed in either 2d and/or3d coordinate systems. State your reason why. You do not need to graph to find your answer.arrow_forward
- 5. For the transformed function y = 1(1)-x-2 + 1: а. State the parent function. b. Describe all the transformations applied to the parent function. C. Use the mapping rule to sketch the transformed function only. d. Determine a second equation that can represent this transformed function.arrow_forwardB. 4 For # 4-8 Given: f(x)=3x² + 2x - 2 g(x)=x+1 4. What is the sum of the two functions if x = -1? A. 1 B. 2 5. What is the inverse of the g(x)? A. x+1 B. X-1 6. What is the difference of the two functions if x = 3? A. 28 B. 27 7. What is the product of the two functions if x = -2? A. 6 B. -7 8. What is the value of the function (f g) when x = -1? A. 2 B. 1 D. N C. -1 D. 3x² + 3x-1 C. 1+x D. 1-x C. 31 D. 30 C. 7 D. -6 C. -1 D. -2arrow_forwardFor help with question 1, refer to Example 1. y =x y = (3x) y = 4(3x)* = 4[3(x+2)]-6 1. a) The graph of y = x' is transformed to obtain the graph of y = 4[3(x + 2)]ª – 6. State the parameters and describe the corresponding transformations. b) Copy and complete the table. (-2, 16) (-1,1) (0, 0) (1, 1) (2, 16) c) Sketch a graph of y = 4[3(x + 2)]ª – 6. d) State the domain and the equation of the axis of symmetry. range, the vertex, andarrow_forward
- Use the following information to answer the next question. The graph y = f(x) has undergone one reflection and one translation in order to obtain the graph of y = g(x), shown below: y = f(x) y = g(x) + 10- E/ Use the code below to describe the transformations that will map the graph of y = f(x) onto the graph of y = g(x): 1- Reflection about the y-axis 2- Reflection about the x-axis 3- Horizontal translation to the right 4- Horizontal translation to the left 5- Vertical translation downwards 6- Vertical translation upwards 5. In the first box record the number that describes the first transformation. In the second box record the number that describes the type of the second transformation.arrow_forwardImagine that we can quarantine infected members of the population, so that they are unable to transmit the disease to others. Let q represent the fraction of the infected population which is quarantined, and let 1-q represent the fraction of the infected population that is not quarantined and can transmit the disease to the susceptible individuals. (Please use google sheets) a. Rewrite the difference equation for S[t+1] and I[t+1] (from question 1), to incorporate the effects of quarantine. (Hint: quarantine should affect the term representing the proportion of susceptible individuals who are interacting with infected each time step) b. In the model you developed for question 1 implement the fraction of quarantined people by adding (1-q) to the equations for S and I. Show what happens for a quarantine percentage of 50%, meaning that 50% of infectious people are in quarantine and cannot interact with the susceptible. What can you tell about the impact of quarantine.arrow_forwardSolve for X in the Equation, given A=-2-1103-4 and B=0320-4-1 a X=3A2B b 2X=2AB c 2X+3A=B d 2A+4B=-2Xarrow_forward
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