Given the pre-image coordinates (0, 5). (-3. 2). (4. -1) and transformed image coordinates (2, -5). (-1, -2), (6, 1), what is the coordinate transformation in function notation?

Q: When f(x)→b as x→±∞, y = b is a ________ ________ of the graph of f.

A: Here we have to fill the following blank,  When f(x)→b as x→±∞, y = b is a ________ ________ of the…

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: The graphs of f and f−1 are reflections of each other in the line ________.

A: Not every function has its inverse. For the function to have its inverse, let the function be…

Q: Write an equation that represents the given transformations of the graph f(x)=|x|

A:

Q: do 3 Graph the function y =x-2. 4 %3D 10 -2 -6 -10 -10 -8 -6 0 2 4 8 10 -4 -2 3 y3-x-2 41

A: First find coordinate then draw the graph

Q: Question 5: Find the y-intercept of the relation shown in the table. -2 -16 4 12

A: Firstly we need to find the equaion of line

Q: Write an equation for the given absolute value transformation. shift to the left 2 and down 1 y = |x…

A: topic - translation of absolute value function When you translate the graph of the absolute value…

Q: find the domain and Range for the functions FCx) from the graph below! y, 3 -2 • 3 1

A:

Q: Graph the function along with secant lines AP, BP, CP where A = (0, 9) B= (1,7) C = (1.5,4.5) P =…

A:

Q: Identify the a, k, d and c values. List the transformations applied to the graph of f(x) to y = -fHx…

A:

Q: To graph the sum of two functions y = y 1 + y 2 , at each point add the ___-coordinate from the…

A: To graph the sum of two functions y = y 1 + y 2 , at each point add the x-coordinate from the point…

Q: The graph is a translation of one of the basic functions y= x, y=x, y = Vx, y= x]. Find the equation…

A: The given graph is

Q: Explain the two transformations that occur to the graph of y = Vx to produce the graph of y =-Vx +2.

A: Given:            y=x  to   y=−x+2.

Q: Q3// Draw the function 1 y = 2 sec-1. Зх + 1

A: Our objective is to draw the graph of the function.

Q: Use the graph of y = f(x) to graph y = f(-x) + 3. (0, 4) (3, 2) (-2, 0) 1- -4-3-2-1, 2 3 4 -2- -3.…

A: Given graph: y=f(x) We need to graph y=f(-x)+3

Q: The translation represent f(x) + 2.

A:

Q: Let Ax,y) = 5x + 5xy – 6y. Give the coordinates of a point on the graph of f at the point (3,6). O…

A:

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: Write an equation that represents the given transformation of the graph of f(x)=|x|

A:

Q: y 10 9 8. 6. 5 44 3 2 1 1 2 4 5 6. 7 8 9. The graphs of f and f can be seen to be reflections of…

A: The domain of a function f(x) is the set of all values for which the function is defined, and the…

Q: The graph of y =f(x+3)  is obtained from the graphof y = f(x) by shifting_________ 3 units.

A: Given, y =f(x+3)

Q: The graph below shows a transformation of y = 2".

A: Given,          An equation of the form y=A·2x+k for the graph shown below:

Q: State the transformation that occurs and then sketch of function. yー(x-6-2

A:

Q: Show that the graph of y = 5 and y = log,. x are reflections of each other with respect to the line…

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 y as a function of x if y" +81y' = 0, y(0) = 4, y'(0) = -27, y"(0) = 81. %3D |

A: Given that y’’’ = 81y’ = 0 And y(0) = 4, y’(0) = -27, y’’(0) = 81 y(x) = ? y’’’ = 81y’ = 0 let d/dx…

Q: Describe the transformations of the graph of one of the parent functions (y = x², y = Va, or y= l)…

A:

Q: Given the graph of y = f (x) below, on the same set of axes draw a graph of y = 2f (x – 1) – 3 (…

A: Given the graph of y=f(x) is

Q: 8. perpendicular to 3x-2y=-1; through (2, -7)

A: Answer is mentioned below

Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment

Q: Which of the following is the graph of the transformation y= (0.2x)² from the dotted graph of the…

A: Given: The graphs To find: The graph of transformation y=(0.2x)2 from the dotted graph of parent…

Q: Show that the graph of y = 3* and y = log,x are reflections of each other with respect to the line y…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: State the transformations in the proper order for the function y =-3sin %3D ++20°

A:

Q: Give the domain and range of the relation.

A: The given function is

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: Determine the missing coordinates of the points on the graph of the function (X1, Y1) = (-1, ]---)…

A: Given function  y = arctan (-x)

Q: c. Sketch a graph that has first and second derivatives as indicated. -5- 4 -3- -2- -6 -5 -4 -3 -2…

A:

Q: Determine the slope of the secant between x = -2 and x = 4 from the graph shown. 10 -5

A: The points of intersection of the secant and the curve are: x1, y1 = -2, 6x2, y2 = 4, 0 To evaluate:…

Q: Find y as a function of x if y′′′+25y′=0, y(0)=6,  y′(0)=35,  y′′(0)=−100. y(x)=

A:

Q: Identify the function shown in this graph. y 4 3 2 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -5 О А. у- Зх- 2 O B.…

A: We have to find the equation of line

Q: b) y = x5 3 2. 21

A:

Q: Describe the domain of the relationship shown here.

A:

Q: State the transformations d would be applied to y f a) y /(x) -1 b) y f(2(x- 1)) c) y -f(x- 3) + 2

A: Topic = Functions As per guidelines , At atime only three sub-parts can be answered. please repost…

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: Find y as a function of x if y′′′+49y′=0, y(0)=8,  y′(0)=49,  y′′(0)=98.

A:

Q: Draw the function 1 y = 2 sec-1 3x + 1

A: Given , y=2sec-113x+1

Q: A relation between x and y is a function when what?

A:

Q: Find y as a function of x if x'y" – 9xy' + 25y = x", y(1) = 2, y'(1) = -5. y =

A:

Q: Use the description of the transformations to fill in the blanks of the equation 1. Vertical stretch…

A: We have to use the description of the transformations to fill in the blank. 1) Vertical stretch by 5…

Q: y = -0.2 (x−5) -6

A: Consider a function y=0.2x ......(1) The graph of the function is