4. Use transformations of y= x* or y=x to graph cach function. (a) S(x)=(x+3)' (b) f (x) = (x-1)* - 2

Q: 6. Create a graph of the function: y = x(x – 2)²(x + 1) -

A: Graph of functions is given.

Q: From the graph of f(x), determine the graph of f'(x). 41 5 4 3 2 0 -1 N -2 -3 -4 -5 9 -6 s 6

A:

Q: Use the graph of y = f(x) in Figure 1.64 to obtain each of the following graphs: a. g(x) = f(2x) b.…

A: Given: y=f(x)

Q: Find the derivative of the function. Ax) = 6x (9 - 8x)* O (- 12x) (9 - 8x)' (6x- 9) O (-181 )(9- 82)…

A:

Q: If the point (1,4) lies on the graph of y = f(x), then the y-coordinate of the corresponding point…

A: Given that (1, 4) lies on the graph y = f(x)  Therefore f(1)= 4  Transformations of this graph is y…

Q: Let f(x) = x2- 2x. Graph y = |f(x)|. Graph y = f(x).

A: Givenf(x) = x2- 2x.

Q: 3. a) Given the graph of y = f(x) below, sketch the graphs of the three given functions by…

A: This question is related to Functions,  we will solve it using given information.

Q: State the parent function of the equation f(x) = 3Vx +2+1 and the transformations that we applied. 5

A:

Q: From the graph of f(x), determine the graph of f'(x). -6 -5 -4 -3 -2 -1 y 6 10. d 3 2 1 O -1 V 2 3 5…

A: Given graph for f

Q: The graphs of y = a-xand y = a (1/a)x are identical. Why

A: Simplify y=a1ax, using the quotient property of exponent, aman=am-n. To plot the graph of y=a1-x,…

Q: The function g(x) is obtained by shifting the graph of y=x2. (a) If g(3)=36, give a possible formula…

A: If the graph shifts horizontally, then the point (3 , 36) on the graph of g must correspond to a…

Q: .6. Sketch the graph of f (x) = {3x+ 7, x- 3

A:

Q: (a) The graph of f(x) = (x + 42) can be obtained from shifting the graph of f(z) = to the %3D 42…

A: here we have graphical transformations.

Q: Examine the graph of the function f(x) 10x+3x-12r. %3D

A: Given f(x)=10x3+3x2-12x

Q: 5. When trying to graph a function f(x) = -(2x + 6), which transformation should be applied last?

A:

Q: 3. Use the graph of y=f(x) to graph each function (you can use different colors and both charts).…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: 9. Find the slope of f(x) = (x+2)2 +5 at the point (3,-4)

A:

Q: Find y as a function of a if y(0) = 7, y'(0) = 10, "(0) = 36, "(0) = 0. y(x) = 0 y(4) 12y" +36y" =…

A:

Q: Sketch the graph of f(x) = xª – 2.x² + 7 using graphing strategy (analyze f, f' and f").

A: Consider the graph of f(x).

Q: If y=f(x) graph y=~f(x)

A: For the given graph, function is symmetric about x=3 and f(x)=0 at x=1 & x=5 So the function…