The function y = f(x) has been transformed to y = af[k(x – d)] + c. Determine the values of the parameters a, k, d and c such that: The function has been compressed horizontally by a factor of ½ The function has been reflected across the x axis The function has been translated 4 units left The function has been translated 2 units down These transformations have been applied to the function f(x) = - а. Determine the equation of the transformed function b. Provide a hand draw sketch of the graph. Include the parent function on your graph. Clearly indicate the method used to transform the parent function (i.e. mapping rules, DRT of points). С. Give the domain and range d. Give the equations of any asymptotes

Q: For f (x) (3 + 1)* find f'(-0.3). Round your answer to two decimal places. You need to use the chain…

A:

Q: A- Find asymptotes for the following functions : x2-1 (1) +x-x-3 (2) x2+ 2 x2-1 dy B- Find dx (1) y=…

A:

Q: The function g(x) has been reflected across the x-axis and compressed vertically by a factor of 1/3.

A:

Q: 4. Find the domain of the following functions: 10 (a) H(x, y, z)= 1+x² + y² +4z² (b) K(w, x, y,…

A: A detailed solution is given below.

Q: 17. The function y Vx -4 +6 is horizontally stretched by a factor of , reflected in the y-axis and…

A: Given : y = √(x-4) +6 To find : The equation of the transformed function if the function is a.…

Q: The function f(x) : (4x + 8)e has one critical number. Find it. %3D

A:

Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: f(x) = x/x² + 1 efined on the interval [-5, 4]. -) f(x) is concave down on the open interval [-5,0]…

A:

Q: For the function f(x)=3cot*x determine its stretching factor and phase shift, and then graph it for…

A: fx=3 cotx Comparing with fx=Acotx, we get A=3 Now the stretching factor is, A=3 Phase shift is 0.

Q: This still isn't working  Find the linearization L(x) of the function f(x)=x^(3/4) at x=1   it's…

A: We have to find the linearlization L(x) of f(x) at x=1

Q: The function f(x) = Vx has been transformed to g(x) 2vx. Which of the following explains the…

A: Giveny=xTo determineAbout transformation from x to 2x .

Q: 6. The parent function f(x) = Vx is translated 2 units right, compressed horizontally by a factor of…

A:

Q: For each of the following functions: (a) Find the linearization L at a = 4. (b) Use the…

A: let y = f(x) is the function  to find local linear approximation at x= x0 we need to find equation…

Q: The function f(x) = (4x + 8)e has one critical number. Find it. 4x %3D X =

A: Recall:   1.) For critical numbers , f'(x) =0 .2.) Product Rule of differentiation :…

Q: The function f(x) = VX has been transformed to g(x) = 2Vx. Which of the following explains the…

A: When a function is transformed then either the graph is moved or the graph is resized or both. Let a…

Q: 1. A lake polluted by bacteria is treated with an antibacterial chemical. After t days, the number N…

A: For the maximum or minimum, we need to find N'(t) and evaluate the values of t for which N'(t) = 0

Q: The function y = f(x) has been transformed to y = af[k(x – d)] + c. Determine the values of the %3D…

A: we have y=fx=1x After transformation we have got function y=fx=-13(x+4)-2 we know the graph of…

Q: 2x2 - 9x + 10 Let f(x) = 3x2 + 17x + 20 This function has: 1) Ay intercept at y= 2) Roots at A and…

A:

Q: 19. Given the the function y =f(x), which of the following functions is obtained when the graph is…

A: The graph of the function y=f(x) is stretched vertically by a factor of 2, then shift 1 unit…

Q: Let f(x, y) = 3x² + 4y? – axy. (a) Find the values of a such that the graph of f increases when…

A:

Q: The function f(x) = x² + 1 is continuous in the interval |-2,4| and differentiable on the…

A:

Q: 3. Given the following function: y = f(x) ==x³ - ;x² – 12x +3 %3D Find the values of x at which this…

A: Given: f(x)=13x3-12x2-12x+3 To find: x values at which given function takes a local maximum and…

Q: 2. For the given polynomial function f(x) = -(x² – 4)(x + 1) 9) Find x and y intercepts (Show…

A: A polynomial is given as f(x)=-(x2-4)(x+1). It is known that for x intercept put y=f(x)=0 then solve…

Q: -4 Find the linearization L(x) of the function at a. 3. f(x) = /x, a = 4

A: fx=x=x12 f'x=12x12-1=12x-12   At a=4,  f4=412=2 f'4=124-12=1212=14

Q: Let g(x) = 2+48 Ax + B g(x) = (x² +48)C A =-1 where B= 48 C = 2 Dx(x+ E) g'(x) = where (x + D= 2…

A: Given function is, gx=xx2+48

Q: |x? +3x +1 ax + In x+b ,x21. „r<1; Let f(x) = If function f(x) is differentiable at point x=1, then…

A:

Q: The derivative of g(x) = (1/2)* is: positive for all x O negative for all x negative for x >0 and…

A: Given function is gx=12x  ....1

Q: 3. The function f(x, y)= 8x' - /4x° +3y° is homogenous in x and y of degree 4. The function f(x, y)…

A:

Q: V4-x2 Q2: (): Let f(x) =,0< x < 2, elsewhere. Let Y = 1- 2 %3D zero Find g(y) by transformation…

A:

Q: 3.Create a cubic function that has undergone the following transformations from its parent function…

A: Given: fx=x3   Given: the function stretches vertically by the factor of 2 so we get the new…

Q: Find the exact coordinates of the stationary points of the function f(x) = e2-10e" + 12r and…

A:

Q: Let f(x) = 5x². a) Find the linearization L(x) of f at a = 5. b) Use the linearization to…

A:

Q: 1. Find the domain and range for the function z = f(x, y) where f(x, y) = ln ((4x² - y²)(x² + y² -…

A: To Find: Domain and Range of the function f(x,y)=ln((4-x2-y2)(x2+y2-1)).

Q: 4x2 Let f(x) = 2x2 6x 4 This function has: - + 7x +3 1) A y intercept at y= 2) Roots at x1 and x2,…

A:

Q: For the function f(x) = 2cot x determine its stretching factor and phase shift and then graph it.

A: Given : The function f(x) = 2cot x

Q: help!

A: Given function is

Q: During a pandemic thẻ increase rate of the number of deaths R, in number of deaths per number of…

A:

Q: The function f(x) = x is transformed to 9(2) %3D%3글 (z + 6)2 +3. Select all the transformations that…

A: Let's find.

Q: A pump allows water to flow into a pool at the rate of r (t) = 2t liters per minute, where t is the…

A:

Q: function. (If an answer does not exist, enter DNE.) g(x) = 3x4 − 6x3 + 1 smaller x-value (x, y)

A:

Q: f(x) = xVx² + 16 defined on the interval [-6, 5]. A. f(x) is concave down on the open interval from…

A: f(x) =x x2 +16 (i) find the interval in which function is concave down. (ii) find the interval in…

Q: 16. flx) = -r +1 17. flx) = 4x – 2.8 18. Ax) = x + 4 19. flx) = -x + 4.8 20. fle) = r – 21. f(x) =…

A: Here ,                We have given a linear equation in                one variable now we have to…

Q: Q4: (a) Find Critical point of f (u) = ue"" + Invu" +n, Where n-540o Find the increasing and…

A: The function f(u)=ueun+lnun+n, where n=540. Then we have to find the critical points and find the…

Q: The function y = f(x) has been transformed to y = af[k(x – d)] + c. Determine the values of the…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: The instantaneous slope of f(x) when f(x) is rational 10 1.e F10 1,0 10 f(x) = -2 x+1 %3D compute…

A: the formulae for ∆x and ∆y are given by ∆x=x2-x1 ∆y=y2-y1 refer to step 2 for detailed solution.

Q: Find the inflection point(s) of the function  f(x) = 5e−(x^(2))

A:

Q: Create a cubic function that has undergone the following transformations from its parent function…

A:

Q: sketch the solid and a washer for the graph of these two functions f(x) =2 -(x-2)^2, g(x)=-x after…

A: