3.27Sketch the function f(x) = 4sin [(x + ] - 1 on the interval -2 ≤ x ≤ 4πYou can either sketch the transformations or use mapping rule.6-R42-2-460 00-6-8-10I2π3π4π

We will sketch the graph of given function f(x).

Answered: 3. Sketch the function f(x) = - 4sin[(x…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose the function y = √x is compressed vertically by a factor of 1/2, stretched horizontally by a factor of 3, reflected in the x-axis, then shifted to the left and down by 2 units. In the space provided below, write down the mapping rule that represents this transformation, then write an equation for the transformed function. Mapping Rule: (x , y ) = Function Formula: (practice question)
How do you find the new domain of a function after a transformation has been performed? (Without graphing)
Number 6 only. Write the quadratic function in vertex form
2) In words, communicate all transformations made on the parent function f(x) = 2* sketch the function: g(x) = -5-2-(x+1), +7
f(x)= x2+4 for xeR g(x)= 3x-1 for xeR h(x)= 4-In(x+2) Sketch the graph of h(x). Apply appropriate transformation method to draw the graph. Show all the functions on one graph, plot at least one point for each function, and label the functions with its equation
Given k (x) = 3 (x+3) - 2, perform the following. Part: 0 /3 Part 1 of 3 (a) Identify the power function of the form y =x that is the parent function to the given graph. The parent function for * (x) = 3(x+3) -2 is the power function y = 2]. Part: 1 /3 Part 2 of 3 (b) Outline the transformations that would be required on the graph of y =x to make the graph of k (x) = 3 (x+3) - 2. Check all that apply. O Shift to the right 3 units O Shift to the left 3 units O Horizontally shrink by a factor of 3 O Horizontally stretch by a factor of 3 O Vertically shrink by a factor of 3 O Vertically stretch by a factor of 3 O Reflect across the X-axis O Reflect across the y-axis O Shift upward 2 units O Shift downward 2 units

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3. Sketch the function f(x) = - 4sin[(x + ¹)] - 1 on the interval -27 ≤ x ≤ 4π You can either sketch the transformations or use mapping rule. 6 2n -K 4 2 -2 -4 -6 -8 -10 R 2π 3π 4π