5. Describe the effects on the graph (transformations) of (x)x when (x) is replaced by a) 0.25f(x-6) b) -1(x) +11 c) 4f(x +3)-7

Q: 2х + 5 if x 2

A:

Q: List a sequence of transformations, in words, to convert the graph of f(x)=x2 into the graph of…

A: Given We have to  convert the graph of fx =x2 into the graph of gx = -6x-22 + 5

Q: How is the graph of g(x) = (x - 8) 2 + 7 transformed from the graph of f(x)=x2?

A: g(x) = (x - 8)2 + 7 f(x) = x2 is the parent function. The function g(x) can be obtained by applying…

Q: What does the transformation f(x)↦1/6f(x) do to the graph of f(x)?

A: The transformation rule of function: The graph of the function af(x) is same as the graph of the…

Q: Sketch the graphs of y = xn and the transformation. y = x4, f(x) = 6 − x4

A: the given function is y=x4 , f(x)=6-x4

Q: 2. Please list the transformation used to get the graph of g(x) = -7f(x+6)+ 34 from the %3D graph of…

A: The base function is f(x). The horizontal shift in a graph is represented by f(x+a) where if a is…

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: 5.) Sketch the graph. f(x) = x³ + x² – x +1 %3D

A: The graph of a polynomial of 3 degree has at most  2 turns and 3 intersections with the x-axis. If…

Q: 7) Sketch a graph for f(x) 3 + 2-x

A: To plot the given function:

Q: The shaded region between the graphs of y = orange. | -6 Ax- 25 2x² + 20 and y = 3x - 15 is…

A:

Q: 8. Use the graph of f(x) = 2x2 – 5V2x + 3 to sketch the graph of f (x) – 3. %3D

A: We need to plot: f(x)-3 with the help of f(x) = 2x2-52x+3 This is a transformation of f(x) and…

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

A: Given: fx=x3

Q: Draw the graph of f(x) = 4² +4 10+ 7- 6- 4- 10 -9 -8 -7 -6 -5 -4 -3 -2 I 2 3 4 5 6 7 8 9 ic -1 -2 -3…

A: We know that, the graph of the function fx=4x is given as As we know that, the graph of the…

Q: list a sequence of transformations in words to convert the graph of f(x)=x2 into the graph og…

A:

Q: Sketch a graph of: f(x) = 2|x+3|– 1 5+ %3D 4 -5 -4 -3 -2 -1 4 5 -1 -2- -3 -4 -5+ 2. 3. 2.

A: Answer is mentioned below

Q: 9. Sketch the graph of f(x) = x(2 − x)3(x + 1)2 using only roots and end behavior.

A: We have  f(x) = x(2-x)3(x+1)2 We find the roots by putting f(x) = 0. Then, we have either   x = 0…

Q: Sketch the graph of f(z) = logo6(z) 3.

A: Givenf(x)=log0.6x-3

Q: 7. ( ) Find the x-values for the inflection points on the graph of ƒ (x)=x² .2*. %3D

A: Given function :

Q: Draw the graph of f(x) = 3ª+5 10+ 5- 4 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 6 8 9 10 -2 -3 -4 -5 -7 -8-…

A: Given function is : fx=3x+5  To draw the graph of a given function fx

Q: (136) Write an equation for the graph below which has been obtained by carrying out a series of…

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: 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: how does the graph shoft from f(x)=2x to f(x)=2x+4

A:

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: Please sketch the graph of f(x) 2x2+12x+5 by first describing transformations. Thank you.

A: Given: fx=2x2+12x+5

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

A:

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: 6. Sketch the graph of f(x) = (x – 3)(x + 2) (x + 5) using the %3D zeros and end behaviours.

A: Solution is here

Q: Draw the graph of f(x)% = %3D 10 8. 7-

A:

Q: Find an equation for the graph sketched below 8+ 6- 4 3- -5 -4 -3 -2 -1 1 1 2 3 4 $ -2- -3 -4 -5 -6…

A:

Q: Suppose the graph of f (x) = x1/3is vertically stretched by a factor of 3 and then shifted down…

A: Given information: The function is f(x)=x13is vertically stretched by a factor of 3 and then shifted…

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

A:

Q: Find an equation for the graph sketched below 8- -54 3-2 -2- -7- f(z) = %3D 6.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find an equation for the graph sketched below 4- -5 -4 -3 -2-1 2 3 4 5 -2 -3 -4 -5- -6 -7+ -8+ f(z)…

A: Given: To Find: Equation of fx.

Q: Sketch the graph of f(0)= – 3tan(20)+1. %3D

A: To sketch the graph

Q: Use transformations of f(x) = to graph g(x) = (x+ 3)?

A: topic - transformation

Q: Explain how the graphs of g and h are obtained from the graph off. f(x) = x², g(x) = (x + 4)°,…

A:

Q: Find an equation for the graph sketched below 8+ 7- 3- 24 -5-4 -3/-2 -1 1 2 3 4 5 -2 2 -3 -4 -5 -6…

A: Given:   Graph is given.     Point: ( 0 , 4 )

Q: a) What transformations would you make to the graph y = f(x) to obtain the graph of y = f(x - 4) ?b)…

A: What transformations would you make to the graph y = f(x) to obtain the graph of y = f(x - 4)?

Q: Example Graph f(x) = 3(x – 4)2 + 1 %3D 1) 9. 3) 4- 3 2- -6 -5 -4 -3 -2 -1 23456 -3 -4- -5- -6- 2. 2)

A:

Q: Explain how you can use transformations to sketch the graph off(x)=1/2(x+3)^2-1

A:

Q: Give full details of a sequence of two transformations needed to transform the graph ofy = |x-2| to…

A:

Q: 34) Use transformations of graphs to sketch y = -2Vx + 1 y 5F 3.

A:

Q: Consider the graphs of y1 = f(x) and y2 = f(2x + 7). Make a prediction about how these graphs are…

A:

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

A:

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

A:

Q: What are the steps of transformation that you need to apply to the graph of f(x)= |x| to obtain the…

A: Given function is

Q: point

A:

Q: 9. k(x) = 3(x- 1)-

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.