4. Given the function y = -2 * 2-2- + 4 a) Sketch f(x) b) List the transformations that has been applied to the parent function.

Q: 1. g(x) = x–1 Parent: Transformations:

A: We have the given function as gx=x2-1 As we know that the graph of the function hx=gx+k is obtained…

Q: 1. To show that +2-4= 0is an implicit solution to do Lon the 2y interval (-oo, 4), i. First convert…

A:

Q: 14. Given the function f (x) = x, which of the following functions show a transformation involving a…

A: b. -0.2|-x+4|-9

Q: Sketch a graph of the function f(x) 2 sin(2x). %3D -77/8-31/4-5n/8-/2 -3/8-7/4-T/8 t/4 3n/8- /25/8…

A: Given function is f(x)=-2sin(2x)We know that period of sin(x)=2πThe period of sin(2x) will be π and…

Q: 26. Consider the functions y = f(x) and y = g(x) whose graphs in red and blue, respectively, are…

A:

Q: Match the graph of f, below, with that of its derivative. 3. -3 -2 -1 I 2 3 -3+ 4 ++ -6 -4 -2 4 6 2.…

A:

Q: Show that u = 3x^2y + 2x^2 - y^3- 2y^2 is a harmonic function.

A: Given: u=3x2y+2x2-y3-2y2 To show: u is a harmonic function.

Q: 1. Find the first 3 iterates of the function f (x)= x-4 when xo =-11. O -11, -15, -19 O -7, -3, 1 O…

A: We have to find the first 3  iteration

Q: 1 33. Given that f (x) is transformed to g(x): the transformations that x +3 occur are

A: Given,             fx=1x is transformed to gx=5x+3 .

Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: Sketch a graph of the function f(x) = 0.5 sin(3x). 4+ 2 -5/6 -27/3 -T/2 -T/3 -Tt/6 T/2 2/3 5/6 -1 -2…

A: Here is the solution

Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

A:

Q: 1. Use the limit definition of the derivative to find g'(x) if g(x) = 2x² – 6x + 13.

A:

Q: 1 Sketch a graph of the function f(x) = 3 sin 5- 4- -87T -7 -6I -5 -47T -37 -27 27T 37T 47T -2- -3…

A: the amplitude of the function is 3 the time period of the function is  2π1/4=8π

Q: 4. If f (x) = 5x + 4, write the equation after the given transformation. 1 g(x) =f(x+ 2)

A:

Q: Determine {f],where the periodic function is described by its graph. 19 2a 3a 40 (1-as) (1-) 1.…

A:

Q: Graph the function h(x) =2 ln(x+3) as a transformation of f(x) =lnx

A: Given the function: hx=2lnx+3 baseline function : fx=lnx

Q: 3 Show that the function f(x) = Vx – 5 is one to one function. %3D

A: The objectives to show that the function f(x) is one to one function.

Q: Sketch a graph of the function f(x) = 3 sin(3x). 4 -5/6 -2/3 -/2 -T/3 T/2 2t/3 5t/6 -1 -2 -3 3. 2.

A: Sketch a graph of the function  f(x) = -3sin(3x)

Q: - Find f (x) given f' (x) 6x2 - 4x + 3 and (2, 15) is on the curve of f (x) .

A: To find the function from derivative we need to integrate.Here we will integrate to find f

Q: Sketch a graph of the function f(x) = 3 cos 6 5 4 3 2 1 -8п -7п -бп -5п -4п -3л -2л -π -1 -2 -3 -4…

A: This question is based on graphing a function from its principal function.

Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: 8 What transformation would occur to the parent function, y = |x|, to arrive %3D at the new…

A:

Q: Define analytically the periodic functions shown. 1 f(x) 2 2 4 6 8 -1

A:

Q: 3. 1) Given f(x) = Vx – 1 Identify A= 1 B= 1 D= O Determine the transformations compared to the…

A: The given function is f(x)=x-13

Q: Consider the function f(x)=(x-2)^2+1. Applying the following transformations. At each step, describe…

A: Note: It is assumed that the vertical translation is positive.   The vertical shift in the graph of…

Q: The (blue) graph of an invertible function, f(x), is given. Drag the (green) points from the top…

A: Graph of inverse function is

Q: Starting with the graph of f(x) = cos x, apply the appropriate transformations to sketch the graph…

A: Given: f(x)= cos x To determine: Graph of g(x)=3 cos 2x-π4+1 by showing each step

Q: In the Algebric terms what is meant by nvertible function?

A: Invertible function:

Q: 4. Identify and sketch the graph of three distinct level curves of the function. f(x, y) = Ln(y –…

A: Given that the function fx, y=lny-3x. We have to sketch the graph of three distinct level curves of…

Q: 4. If glx)=f(3x-1)+8 , what transformations are performed on f(x) ? a. Horizontal stretch, left 1,…

A: Topic - translation of function

Q: 14. Given the function f (x) = x, which of the following functions show a transformation involving a…

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Compare the graphs of the functions. Y1 = In(2x) and Y2 = In 2 + In x

A:

Q: Sketch a graph of the function f(x) = 4 sin %3D - 1 4 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 3. 4 6. 7. 8. 9.…

A: We use Trigonometry table to find out some values to draw graph

Q: If f(x) = 4x2 – x³, find f'(x), f"(x), f'(x), and f(4)(x). f'(x) = f"(x) = f""(x) = f(4) (x) = Graph…

A: Given, the function f(x) = 4x2 – x3, then we have to find the f’(x), f’’(x), f’’’(x) and f4(x) and…

Q: A2. b. Given the two generating functions f (x) = and g(x) = find the (1-x)2 (1-x)2 generating…

A:

Q: he parent function f(x) = x is compressed vertically by a factor of ranslated 5 units right and 2…

A: Transformed function:      The graph of a function is transformed when its parent function is…

Q: 1 If a parent function x) = is compressed horizontally by a factor of 5, what would be the equation…

A: The horizontal stretch or shrink in the graph of y=f(x) is represented by the transformation…

Q: Sketch the graphs of the function f(x) = cos x. y y 2 2 f X 3X -27 2 -2- -2- y y 2- f X -27 - 2 2 -1…

A: We know, cosx = 0, if x =(2n+1)π2; n∈ℤcosx = (-1)n, if x =nπ;  n∈ℤ

Q: 4 +1, Check ALL transformations applied to the parent function Given f (x) = f (2) = z+1 Vertical…

A: '2' will be the right answer.

Q: if y(x)=Power[x,2]+3 and x(t)=3t-1, what is y(x(t))??? and how does functional notation make sense??…

A: Given yx=Powerx, 2+3 and xt=3t-1

Q: 2 Sketch a graph of the function f(x) = 2 sin (-) 6+ 4 2 -8 -7T -6A -5T -4T -ŽA -2T 2π 3π 4π5π6ππ.…

A: To graph y=2sin(2x/3)

Q: Sketch a graph of the function f(x) : 2 sin +1 6+ 4 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 -9 -8 4 5 -2 -3 -4…

A: Given: The function

Q: 7) Show that the function ƒ(z) = z² +4 has no inverse function.

A:

Q: 1. Sketch the reciprocal of the function f (x) = x - 6.

A:

Q: х — 1 - 2. For f(X) calculate f-'(8) = ? %3D х — 3 -

A: Given : f(x) = (x - 1)/(x - 3), we want to find the function f-1 that takes the value y as an input…

Q: Sketch a graph of the function f(x) = - 4 cos 6+ 4 2 -8л -7л -бл -5л -4л -3л -2л -л) 2л Зл 4л 5л бл…

A: We need to draw the graph of

Q: 4) Sketch the graph of the derivatives f' of the given graph below on the same grid.

A: The derivative of a function at a point is the value of the slope of the tangent to the function at…