According to the "Big Transformation Theorem" which of the following transformations would scale the graph of y = f(x)vertically by a factor of , reflect it over the x-axis, and shift it upward by ? %3D 6.

Q: The graph of the equation y=x^4 has been shifted 8 units to the left and 3 units up. Write the…

A: answer is y =(x+4)4+3  explanation is given in below step

Q: Suppose that the graph of f(x) = x 4 - x 2 is compressed horizontally by a factor of 2 and then…

A: Whenever a graph is compressed by a factor a, the function of the graph is multiplied by the factor.…

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: Find an expression for the function whose graph is thegiven curve.   The bottom half of the parabola…

A:

Q: Look at the graph of: ` y = Vx – 1+ 3 %3D What is the starting point of the graph? What is the…

A:

Q: 8. Find the equation that represents the transformation of the graph f(x)=3° after a horizontal…

A: fx=3x

Q: If f (x) = 2", which equation represents a function that has been reflected over the x-axis, has a…

A: Definition and the knowledge of the functions help to find the required function. When a function…

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: Find the directions in which t and decrease most rapidly at function in those directions.

A: given function fx,y,z=lnxy+lnyz+lnxz           =2lnx+lny+lnz             ∵lnxy=lnx+lny to find in…

Q: What is the equation of y x3 with the given transformations? vertical stretch by a factor of 3,…

A: We have to find out

Q: Based on the graph of y = |x|, plot the graph of y =x - 5|+13 using transformation technique. Plot…

A: We have to solve question 5 as you mentioned. We have to find the plot for the transformed function…

Q: Starting with the graph of f(x) = 5°, write the equation of the graph that results when: %3D (a)…

A: f(x) = 5x

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

A: a) y=-x-4-2b) y=-2x-4

Q: Q4, Using Vertical Shifts and Horizontal shirts in Graph of Runctions: O y = (x+2)-3 © y = Cx=2)+3

A:

Q: Q2) Use shifting graph to sketch a) y = 1-|Vx – 3|| ||ɛ – x^| –

A: As per guidelines, we will solve only first part. Kindly repost other part separately.

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

A:

Q: The graph of f(x)=/x is reflected in the x-axis, then shifted 6 units to the left, and 2 units…

A:

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: Create a graph the represents g(x)=1/3x^2 then describe the transformation

A: Given, To graph g(x)=13x2

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: True or false: The graph of g(x) = Vx + 4 is the graph of f(x) = Vĩ shifted horizontally to the…

A: Given,     The graph of g(X)=x+4  is the graph of f(x)=x  shifted horizontally to the right by 4…

Q: 1 then shifted to the left 3 units and down 2 units. 2 b. The graph of f(x) Vr is horizontally…

A:

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: Find the points on the graph of the function that are closest to the given point y = x2,       (0,…

A:

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: 1,0

A: For the domain and range we see that it is a straight line, so the domain will be the set of…

Q: d) Now, recall our class discussions relative to transformations of graphs and explain what is the…

A: We have to check

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: 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: Let k eR and f(x, y) = x² + y² + kxy. If you imagine the graph changing as k increases, at what…

A: We have to find k such that the graph changing as ke increases, at what values of k does the shape…

Q: Identify the graph of the function g (z) = -f(T+1)+ 2 from the transformation of the parent…

A:

Q: The graph below shows a transformation of y = 2 5+

A: answer is in next step . please give a like !!

Q: Below is the graph of y=x". Transform it to make it the graph of y=-3(x-2).

A:

Q: If f (x) x, choose the transformation that matches the graph depicted below. 4 3 2 1 2 3 4

A: The parent function is -  f(x) = x2  We have to state the transformation that gives the resultant as…

Q: Sketch the graphs of x2 = 4py for p = 1/4, 1/2, 1, 3/2, and 2 on the same coordinate axes. Discuss…

A: To sketch the graph of x2=4py for p=14, 12, 1, 32, and 2 on the same coordinate axes.

Q: Below is the graph of y= x Transform it to make it the graph of y= -2. 24

A: Given is the graph of y=|x|. The graph y=-12|x|-2 is the transformation of y=|x|. The transformation…

Q: Graph the equation : y = √(x + 2) - 1; Use transformations of the graph ofy = √x.

A: Given: fx=x+2-1, gx=x graph of fx by using graph of gx can be drawn as below here, blue one is…

Q: 3) Graph t(x) = (x – 2)3 + 1 by starting with the graph of y = x³ and us %3D transformations.

A:

Q: b. The graph of f(x) = V is horizontally compressed by a factor of then shifted to the left 3 units…

A: I have appended the concept used in the solution part.

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: Starting with the graph of f(x) = 3", write the equation of the graph that results when: %3D (a)…

A: The given equation is, fx=3x (a) The f(x) is shifted 9 unit downward  then, fx=3x-9

Q: Sketch the graph of the equation L2 y =-2(x- 3)² +4 using transformations. Include the base graph y…

A: The given equations are,y=-2(x-3)2+4 and y=x2

Q: The graph of y= f(x-3) is the graph of y= f(x) 4 A. vertically compressed by a factor of 4 and…

A: Given function y=14f(x-3) with parent function y=f(x).

Q: The graph of y = f ( x ) + k gives a   _______________ ["shrink", "vertical", "stretch",…

A:

Q: Obtain the graph of y = -V-x+8 using transformations of the graph of y = Va. Explain each step.

A: The graph of y=x is as follows

Q: Below is the graph of y: Transform it to make the graph of y =- X-1 %23

A: The parent function is the simplest form of the type of function given. y=1/x   For a…

Q: f(z) 5 4- 3- 2- 2 3 4 6. 7

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

A: Known fact: The graph of y=fx-a,   a>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.