Describe how the graph of the function is a transformation of the graph of the original function f. g(x) = 9f(x) The graph of g is a vertical stretch by a factor of of the graph of f.

Q: Sketch a graph of f. f(x) = (x- 4)? – 8 Use the graphing tool to graph the function. Click to…

A: Given is  f(x) =(x-4)^2 -8

Q: Use a graphing utility to construct a table of values for the function f(x) = 5x−2 + 4 . Then sketch…

A: Table:

Q: Use a graphing utility to construct a table of values for the function f(x) = 7−x.Then sketch the…

A: Given : f(x) = 7-x   To construct a table of values for the function f(x) = 7-x. To sketch the…

Q: Use a graphing utility to construct a table of values for the function f(x) = 3x−2 + 1 .Then sketch…

A: Given function is fx=3x-2+1. To construct a table of values for the function and then sketch the…

Q: Describe the end behavior of the graph of the function. f(x) = −3(5)x − 2 As  x → −∞,f(x) →…

A:

Q: Sketch the graph of a function that has the properties described. a. f( – 2) = 3; b. f'(x) 0 for a…

A: We will use the property related to  increasing and decreasing function.

Q: describe how the graph of f(x) is related to the graph of g(x) = x3, then graph.

A: NOTE: Refresh your page if you can't see any equations. . the base function is  the graph of  is…

Q: The function g(x) = -2(32x-6)+9 is the result of transformations of f (x) =3x Using the proper…

A: Given, the function                 g(x)=-232x-6+9

Q: Describe how 1 g(x) = = -f(x) f(x) transforms the graph of the parent function f(x).

A: Given :   Therefore g(x) is reflected.

Q: Evaluate the indicated function for f(x) = x - 1 and g(x) = x – 2 algebraically. If possible, use a…

A: Given query is to find the value of indicated function

Q: Use transformations on the graph of y = f(x) = 8 to graph g(x) = 8 *. ... Use the graphing tool to…

A: Solution: Given data, y= 8x g(X)=8-x

Q: Sketch a graph of the function by first making a table of values. g(x) = x2 + 2x + 1

A: gx=x2+2x+1⇒gx=x+12 When x=-2, g-2=-2+12=1 When x=-1, g-1=-1+12=0 When x=0, g0=0+12=1 When x=1,…

Q: Use graphical addition to sketch the graph of f+g.

A: Consider the given graph.

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: To graph the function fx=x+22-2 using transformation by graphing the function y=x2. Solution: Graph…

Q: Sketch the graph of f′. Explain how you found your answer.

A: we can observe that equation of given curve is like fx=mx;m>0 now we have to find f'x

Q: リ= f(z) - 2

A: y=f(x)±k →(1), if k<0 shifts function  down , if k>0 shifts function  upGiven function →y…

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: Given: f(x)=-x2-2x To Graph: the function f by starting with the graph of y=x2 and using…

Q: Use transformations of the graph of f(x) = x° to determine the graph of the given function. 10- h(x)…

A: Solve the following

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: To graph the function fx=x-32-10 using transformation of the graph of the function y=x2. Solution:…

Q: graph the function.  compare the graph to the graph of f(x)=x2

A: To make graph first we check concavity, convexity, increasing, decreasing, maxima, minima

Q: 11 Use the graph to write the function rule. How do you know you are correct?

A: Given ,  We have to use the graph to write the function rule

Q: Sketch a graph of the function by first making a table of values. r(x) = x3 - 8

A: Given that,  r(x) = x3 - 8 Consider, y = x3 - 8 a) For x = 0 y = (0)3 - 8 = -8 b) For x = 1 y = (1)2…

Q: Analyze and sketch a graph of the function f(x)= 1+x

A: We have the given function as fx=x31+x3         ⋯⋯1 As we know that, if the degrees of the numerator…

Q: How do I graph the function g

A:

Q: Using the graph of the function f(x) Fill in the Characteristics

A: The domain of a function is the values of the variable that can be input into the function that…

Q: Sketch the graph of the function. (Restrict your graph of the function to the domain [0,5).) g(x) =…

A: We are given with greatest integer function We know that greatest integer function returns the…

Q: Suppose the graph of f  is given. Describe how the graph of the function can be obtained from the…

A: The graph of f  is given y=4f(x+5)-3

Q: Sketch the graph of the following functions. Identify all the properties (domain and range,…

A: We will find all the properties and graph the function as following.

Q: Describe how the graph of the function is a transformation of the graph of the original function f.…

A: Given that: g(x)=f(8x)

Q: Suppose the graph of f is given. Describe how the graph of the function can be obtained from the…

A: Given that y=4f(x+5)-3  To find describe the graph

Q: Write a function g whose graph represents a vertical stretch by a factor of 5 of the graph of f (x)…

A: Given,          A function g whose graph represents a vertical stretch by a factor of 5 of the graph…

Q: Use transformations on the graph of y = f(x) = 9* to graph g(x) =9*. Use the graphing tool to graph…

A: To Determine:  use transformation on the graph of y=f(x)=9x to graph y=f(x)=9-x. Given: we have two…

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: Here the given equation of the graph f(x)=2x2-4x+1  we have to graph the function f by starting with…

Q: Sketch a graph of the function by first making a table of values. g(x) = (x- 1)3

A: given,         gx=(x-1)3

Q: Sketch the graph of F(x)= 1/5 x5- 9/5x3 please look at the picture

A:

Q: Describe how the graph of the function f(x) = (x - 4) obtained from one of the basic functions. Then…

A:

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: Consider the function, f(x)=x2-6x+2 by completing the square, the given function can be written as…

Q: obtained

A:

Q: Sketch a graph of the function and find its domain and range. Use a graphing utility to verify your…

A: To sketch the graph of the given function.

Q: Now, suppose this is actually the graph of g'(x). Answer the following questions about the function…

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed…

Q: how to do function on a graph

A: The functions can be created on graph by plotting points on the graph by using equation of function…

Q: Suppose the graph of fis given. Describe how the graph of the function can be obtained from the…

A: Given query is to find the transformation performed.

Q: Graph the function f by starting with the graph of y = x2 and using transformations (shifting,…

A: Solution:Givenf(x)=-2x2+6x+2To Graph the function in graphing utility.

Q: use your knowledge of transformations to compare the graph of the function with the graph of f (x) =…

A: To graphy=4x   in  -4≤x≤4

Q: Describe how the graph of the function is a transformation of the graph of the original function f.…

A:

Q: describe how the graph of the function is a transformation of the graph of the original function f.…

A:

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

A:

Q: c) y = x(x + 2)(x-1)² y

A:

Q: o draw a vertical line on the graph so it intersect

A: Given that: Graph:

Q: Use graph transformation theory to sketch the graph of f(x) = -;(x+2)² +3.

A:

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.