6. The graph of f(x) = x² has been stretched vertically by a factor of -2 and translated 2 units to the right and 4 units up. a) Write the equation of the graph of resulting from the transformations. f (6)= -2(x-2)+4 b) Graph f(x) = x² and its image after the transformations. Use mapping to the right of the graph. 10 H. -10-8-6-A-2

Q: Describe the translation needed to obtain the graph of g(x) = 7X-9 from the graph of f(x) = 7*.…

A:

Q: 2х + 5 if x 2

A:

Q: 3. The graph y = f(x) is transformed to produce y = 4f(-4x+12)-10. If the point (8, -2) was on the…

A: As the graph of f(x) is not provided. It can't be solved.    But for your reference I am attaching…

Q: 2x+3 if x<-1 Graph f(x) = -2 if -1<x<2 on the graph below. 1 -2x if x22 y 5. 4- 3 2- 2 -5 -3 -2 -1…

A:

Q: 2x + 5 if z 1 8 7- 5- 4+ 3- 2+ 8 -7 -6 -5 -4 -3 -2 -1, i 2 3 4 5 6 7 8 -2- -3- -4- -5- -6- -7 -8

A:

Q: Q3) Let f(x) = x², draw the graph of (x + 2)², what is type of this shifting and what is the value…

A:

Q: - Which two transformations can be used to obtain the graph of y = 3(x- 5)2 from the graph of y =…

A: The function is:y=x2To transform it to y=3x-52

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

A:

Q: 25. Graph f(x) = Xwhere -4 <x<4. y 5 2- 1 3. -3 -2 -1 -5 -1- -2- n -1) -3- -5-

A: Given: f(x)=12x  where -4≤x≤4for x=-4,   f(x)=12(-4)=-2  hence one point is (-4,-2)for x=4,…

Q: 23. If the graph of f(x) is given, then the graph of y = f(x + 2) - 4 is obtained from moving the…

A: Explained below

Q: 21. Determine the corresponding equation for the following graph, knowing that f goes through (-2,…

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: Which statement below describes the relationship between the graphs of (x) = Inx + 2 and g(x) =…

A: Given: fx=lnx+2 and gx=2lnx To Find: Which statement below describes the relationship between the…

Q: Suppose (−4,1) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A:

Q: 1. how can the graph of (x)=1/x-7, a+13 be obtained from the graph of y=1/x ?

A:

Q: -) For y.(x+ 3y - 4, deseribe the transformations from the graph of y x b) Sketch the graph of y -…

A:

Q: 6) Sketch the graph of f(x) = 2¬² +1

A: To sketch the graph

Q: Describe a sequence of transformations that can be used to obtain the graph of y = 1+e2-1 from the…

A: Given: y=1+e2x-1

Q: Q16) Use shifting graph to sketch a) y = |(x – 3)² – 2| b) y = -1+ 5cos (x –-)

A: Given a y=x-32-2b y=-1+5cosx-π2

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

A: Given function :

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: 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: 5. State the transformations in words that have been applied to the graph y = x' to get the graph of…

A:

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. i)Match any/all the graphs with the value of the discriminant b2 - 4ac =0 i) b2 - 4ac> 0 iii) b?…

A: We will find out the required value.

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

A: We have to draw the graph of  f(x)=4x-4.

Q: | 2||| – 1 |æ| – 1 Draw the graph of the function y = by shifting method. %3| -

A: we can draw the given curve by shift method is

Q: 3 if a 2 4- 2 -5 -4 -3 -2 -1 2 4 5 -2 -3 -4 -5 3.

A:

Q: (2) The graph of f(x) = is the transformation of the graph of y = -'x shifted (A) 2-units left and…

A:

Q: -x – 5 if æ 4 Sketch a graph of f(x) = 1 %3D 6+ 4+ -8 -7 -6 -5 -4 -3 -2 -1 -2 -4 -5- -6- -7-

A:

Q: 2A.6A: analyze the effect on the graphs of f(x) = x, when f(x) is replaced by af(x), f(bx), f(x -…

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: 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: 39. Show that the graph of y = f(x – b) is obtained by shifting the graph of y = f(x) to the right…

A:

Q: Draw the graph of f(x) = 2. 3" 20 + 18 16 14 12 10 6 4 2 10-9 -8-7-6-5 -4-3 -2 -1, 1 2 3 4 5 6 7 8 9…

A:

Q: Find an equation for the graph sketched below 8+ 7- 6- 2- -5 4 -3 -21 1 2 3 4 5 -2 -3 -4 -5- -6 -7…

A:

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: 8. If (-4,1) is located on the graph of f and g(x) = 3f (;x) + 1, what point must be on the %3D…

A:

Q: x +2 ()** Draw the graph of f(x) |10 구 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 -2 -4 -5

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: -3 if a 2

A: The given function is fx=-3if x≤-22x+1if -2&lt;x≤22if x&gt;2. This means,  The graph of the function…

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

A:

Q: Suppose (−3,5) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A: Suppose (−3,5) is a point on the graph of y=f(x). The point (-3, 5) where x is -3 and y is 5, so,…

Q: -5 if a 1

A: The function graph will be as follows

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

A:

Q: point

A:

Q: The graph of y=4f(x−5) is the graph of y=f(x) Describe transformations of graphs

A: Given: The graph of y = 4 f(x-5) is the graph of y = f(x). To determine: The transformation of the…

Q: 13 Graph f(x) = 3ª, and use transformation to sketch the graph of a) g(x) = 3-* b) h(x) = 3"-2

A: Introduction: For a given parent function, we can construct different new functions by transforming…

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.