14. Describe the transformation that can be used to obtain the function g(x) from f(x) and sketch both graphs on the same set of axes. Identify the horizontal asymptote and the vertical intercept. f(x)=3*, g(x)=3(*-2) +1 a. %3D (x+1) , g(x) = b. f(x)= %3D

Q: Use transformations of the graph of f(x) = x to determine the r(x) = (x- 2)3 +2

A: The graph of f(x) = x^3 is:

Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. fx) g(x) Ax) +…

A:

Q: When trying to graph a function /(<) = -¿A2x + 6), which transformation should be applied last? a) a…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n…

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

A: a)y=x5Horizontal shift by 3 units towards leftf(x)=(x+3)5 The graph is shown below:

Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. g(x) f(x) + g(x)…

A:

Q: (ii) (a) Draw the graph of x>0 f(x) = } 0 x = 0 -1 x<0

A: Function  f(x)=x|x|, where || represents the modulus function. If x&gt;0 |x|=x f(x)=xxf(x)=1. If…

Q: 16. Use transformations to sketch the graph of f(x)= vx- 3+2.

A:

Q: 7. Sketch a graph of the function c(x) = (½x)³ – 1. Describe the transformations to the graph of y =…

A: Given query is to find the graph of the function and provide transformation used.

Q: Describe the transformation from f (x) to g(x) if the black parabola represents f () = x² and the…

A: In the given graph the black curve represents the function,f(x) = x2

Q: 2. Use the graphs of y=f(x) and y=g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: The given graph shows that the function y=fx is a cubic function while y=gx is a quadratic function.…

Q: 5.Explain the transformation of the following graphs from f (x)=x" Green - Purple-

A: Given: fx=x3

Q: 6. Determine the domain and range of the graph of the transformed function shown. * 2

A:

Q: 12. Sketch a picture of a graph y = f(x) that satisfies f'(-1) > 0, f'(0) = 0 and f'(1) < 0.

A: Follow the procedure given below

Q: Consider the transformation of the function f(x)f(x) given by g(x)=−7f(−8x).g(x)=−7f(−8x). If the…

A: Given: -

Q: 12) Sketch the graph of the piecewise function below. 1/2x-51 f(x) =-(x-8)=² +6 I5 10 10 20 10

A:

Q: 10. a) What transformation are used to turn the parent function f(x) = x³ into g(x) : -(2³ – 3) +2.…

A: Given query is to find the transformation applied and then graph the function.

Q: sketch the graph of the function. Indicate the transition points and asymptotes

A:

Q: 3. Use transformations to sketch a graph of the following: f(x) = |x+3|– 4 %3D

A:

Q: Describe how the graph of y=-2f|3(x– 4)|– 5 can be obtained from the graph of f(x) = x*. Be su co…

A:

Q: 1) Describe the transformations of the graph of f that yield the graph of g- f(x) = 2", g(x)= 3 – 2"

A: Given query is to find the transformation performed.

Q: The graph of f (x) = x² was transformed to create the graph of g(x) = – (6x)² . Which of these…

A: f(x) = x2g(x) = -(6x)2

Q: 5. Describe the effects on the graph (transformations) of (x)x when (x) is replaced by a) 0.25f(x-6)…

A: Consider the given , fx=x   And, the graph of the function is,

Q: 6. Sketch a graph of f (x) = 2/-a +5 as a transformation of y = Va Ser

A: First draw the basis graph then use the transformation to get the final result

Q: 5.Explain the transformation of the following graphs from f (x) = x Green Purple - Blue -

A: We have to find the transformation from f(x) = x3 of the green, purple, and blue graph.

Q: 3. Explain the transformations of g(x) = 3(x + 5)² + 10 that are needed from the graph of f(x) = x?

A: Given: the function gx=3x+52+10 and fx=x2, To find: The transformations of gx that are needed from…

Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: answer is in next step.

Q: 14. Use transformation theory to graph the function g(x)= 2(x+1)° – 1.

A:

Q: Write the function rule g(x) after the given transformations of the graph of f(x) = 6x. reflection…

A: Given information: fx=6x and vertical compression by the factor of 1/2 in the x-axis

Q: 4 Use a transformation of the graph of y =x* to graph the function. f(x) = (x + 3)* Select the graph…

A: Consider a function fx. The horizontal shift in the graph by d units is given by the function,…

Q: 2. Sketch the graph of a function with domain D = (-o, -2) U (-2, 2) U (2, 00) and Range R= [-5,…

A: Given domain is (-∞, -2) U (-2,2) U (2,∞) That means x=-2 and x=2 are not in the domain.  This means…

Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Q: 7. Write a formula for the transformation of the function f(x)= |x that shifts the function's graph…

A: Consider the provided question, Given function, fx=x We need to write the formula for the…

Q: Describe the transform steps to obtain the graph of g(x)=√x+5-3 from the graph of f(x)=√x

A:

Q: Describe the transformation to the graph of a toolkit function. h (z) = (}r)* – 3

A: We have to describe the transformation to the graph of a toolkit function.

Q: Sketch a graph of f. Ay 20 f(x) = 2x 16- Use the graphing tool to graph the function. 12- Click to…

A:

Q: [5] 1. Describe how to obtain the graph of g from the graph of f(x) = √x. f(x) = √√x - 3+2 3 to the…

A:

Q: The graph of y Df(x) is shown below. The graph of y = f(x) is to be drawn on the same coordinate…

A: We will first draw the graph

Q: Suppose a transformation of the parent function f(x) = 10^x is given as g(x) =10^x -8. Determine the…

A:

Q: Suppose (-6, –6) is on the graph of y = f(x). Find the corresponding point on the graph of the given…

A:

Q: Graph the basic function using a solid line and the transformed function using a dotted line. h(x) =…

A:

Q: The graph below is the function f(x) 25+ 20 15 10 5 5. 10 15 20 25 25 -20 -15 -10 -5 -5 -10 -15 -20…

A:

Q: 11) Sketch the graph of the piecewise function below. |x +81+3 f(x) ={-(x- 1)² - 3 -5<x<3 2/3x + 2…

A:

Q: Describe the translation needed to obtain the graph of g(x) = 5× – 4 from the graph of f(x) = 5%.…

A: 4) Describe the translation needed to obtain the graph of gx=5x-4 from the graph of fx=5x.

Q: What is the new equation for the pictured graph after transformations from the parent function…

A:

Q: 15. Use transformation rules starting with the basic function f(x) = |x| to sketch and Describe the…

A: g(x)=-|x-2|+3= -f(x-2)+3  So f(x) moved 2 units to the right,  reflected over the x-axis and 3 units…

Q: Describe the translation needed to obtain the graph of g(x) = 8*** from the graph of f(x) = 8*. ....…

A:

Q: Look at the graphs of the function f(x)=x^2-1 and g(x) =x-1 What transformation makes g(x) greater…

A:

Q: Sketch a graph of the function c(x) = (½x)3 – 1.  Describe the transformations to the graph of y =…

A: Given query is to find the transformation and sketch the graph.

Q: 10. Use the function f(x) = (-2)e +1 to state the transformations and then graph: a= h= k= y

A: In the question we have to find values of a , h , k and graph the given function.