Consider the transformation of the function f(x)f(x) given by g(x)=−7f(−8x).g(x)=−7f(−8x). If the point (−10,4)(−10,4) is on the graph of f(x)f(x), what point must be on the graph of g(x)g(x)?

Q: 8. The graph of y = f(- x) is a reflection of the graph of y = f(x) in the x-axis.

A: Authoring guidelines:…

Q: Given the parent function f(x)=2^x and the translated function g(x)=2^(x+3) , determine the effect…

A: Let's say we have graphed a function f(x) such that x is the independent variable and f(x) is the…

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: 1.b) Describe how the graph of g(x) = (x – V2) is obtained from the graph of f (x) x3.

A:

Q: Describe the transformations of the graph of f(x) = 2.2x that yield the graph of g(x) = −2.2x + 4.

A: Given functions are: f(x) = 2.2x g(x) = - 2.2x  +4     The red colored graph represents 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: Describe the translation needed to obtain the graph of g(x) = 2X-4 from the graph of f(x) = 2*.…

A: Describe the translation needed to obtain the graph of g(x)=2x-4 from the graph of f(x) = 2x

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: (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: (-x² – 2x+3 if x1 a. Sketch the graph of f(x)

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: snip

A: To graph the function

Q: (b) Complete the table for y=-x + 8x - 7, including all integral values of x such that 0SxS8. This…

A: Make a table for (x,y) and substitute all integral values in the function and find y. x…

Q: How does the graph of f(x) = 2*+2 compare to the graph of g(x) = 2* + 2? The graph of f(x) is a…

A: The graph f(x) is a translation of the parent function h(x) =2x 2 units to the left Given functions…

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: The graph of y = f(x) is graphed below. What is the end behavior of f(x)? %3D 60000 50000 40000…

A: We can easily read the end behaviour of the graph by just looking the x values and their…

Q: A8: By use of the chain rule, differentiate the function f(x) = In(x* + 1).

A: It is differentiation using chain rule.

Q: How does the graph of f(x)=(x-9)'-3 Compare to the parent function gx) = x". |

A: Given, f(x)=(x-9)4-3 g(x)=x4

Q: 16. Write an equation for the transformation of f(x) = |x| shown in the graph below. V

A:

Q: Given the graph of y = f(x), sketch the graph of the transformation y=-f* )+3. 10 -6 -4 -2 -6 -8 -10…

A: We have to sketch graph for the given transformation.

Q: Find the inverse of ƒ(x) = x + b (b constant). How is the graph of ƒ -1 related to the graph of ƒ?

A: To find the inverse we plug f(x)=y Then switch x and y and solve for y

Q: Graph the function h(x) =2 ln(x+3) as a transformation of f(x) =lnx

A: Given the function: hx=2lnx+3 baseline function : fx=lnx

Q: Your friend attempted to graph the equation f(x)=-2cos(1/3(x-60))+3. Based on their graph of the…

A: The base function is  where x is in degrees Now we have the transformation So, the amplitude of the…

Q: Below is the graph of y = x Transform it to make it the graph of y =-x-2+1. 4 -2- -4- 6- 2,

A: solution is given below..

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: How can the graph of f(x) = 1 + 15 be obtained from the graph of y =,? x-5 X- 5 O A. By making a…

A: Solve the following

Q: Use the graph of a transformed toolkit function to write a formula for the resulting function. y = |…

A: We have to find function using given 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: Identify the graph of the function g (z) = -f(T+1)+ 2 from the transformation of the parent…

A:

Q: The graph of f (r) -x² was transformed to create g (x) = from the graph of f to the graph of g -(x +…

A: Here f(x) = - x2  And g(x) = - ( x + 3 )2

Q: This is the graph of f(x) = x2 + 6x +8 and its transformation g (x). I. y g(x) f(x)=x² +6x+8…

A: From the given graph we can see that f(x)= x² +6x +8 is shifted towards positive y-axis by 3 units…

Q: orm f(x) = ar² + bx +c whose graph %3D

A:

Q: Begin by graphing the standard cubic function, f(x) = x3. Then use transformations of this graph to…

A: Begin by graphing the standard cubic function, f(x) = x3. Then use transformations of this graph to…

Q: Here is the parent function f(x) 5 4 3 -5 -4 -3 -2 - 2 3 4 5 -2 -3 -4 -5- Write an equation for the…

A: Given, The graph of the function fx  We have to write the equation for  the transformation gx in…

Q: Use transformations of f(x) = to graph x2 1 g(x) = (x-2)2 1.

A: Here we find the correct garph for function g(x)

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

A:

Q: Match the horizontal asymptote with its corresponding function. 5x+2 f(x) = 3x2 + 1 a. f(x)= 2x2+1…

A:

Q: b) Here is the graph of f(x).On the same grid, sketch the graph of its inverse.

A:

Q: The graph y = f(x) is transformed to y = -f(x + 3) - 2. Which describes the effect of the…

A: Transformation of graph is very significant in studying the analytical nature of a function. The…

Q: Consider the function: y=3|x+2|−1 What is the base graph and what are the transformations for this…

A: Consider the given function y=3x+2-1

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

A:

Q: Given g ( x ) = - 3 ( x - 4 ) 2 - 1, list the transformations that would need to be performed from…

A:

Q: 4. The functionf(x)=-g(-x) represents a transformation that can best be described as a reflection in…

A: Given information: The transformation is f(x)=-g(-x). Concept used: The transformation h(x)=-f(x)…

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: A reflection in the x-axis of the graph of y = f(x) is represented by h(x) = ________, while a…

A: Since, we know that the reflection of point (a,b) in x-axis is (a,-b)and the reflection of point…

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

A:

Q: Prove that the graph of the function y = x² −3+1/x has at least two x-intercepts in (0,2).

A:

Q: Sketch the graph using the transformation process. f(x) = (3/4)x - 2

A: Known fact: The graph of y=fx-a,   a&gt;0 can be obtained by shifting the graph of y=fx with a units…

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.