4. For the function f(x) = -(x+2)? +3 3. a. State the parent function b. List the transformations c. List key points in the table Parent function: Transformation: y.

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: Which of the following is NOT a transformation that can be used to graph the function f(x)=-6(x-4)²…

A:

Q: Describe the transformations that were made to the basic function f(x) = x² to obtain the graph…

A: Given that the basic function fx=x2. Describe the transformation were made to the given basic…

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: Graph the following transformations on the parent function y = x %3D 1. y Rule: New Key Points:…

A: Given: Parent function:  y=x3 Transformation: y=13x3

Q: Use the following information to answer the next question -5 27 Your answer: 5 -5- y=f(x) 5 Using…

A: We need to calculate the number of invariant points that would result after the transformations:…

Q: 15. Write an equation for the transformation of f(x) = |x| shown in the graph below. +

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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: Consider the function: y = 3 |r+ 2| – 1 What is the base graph and what are the transformations for…

A: Given:       y=3x+2-1  The parent function is y=x The transformation is of the form y=ax-h+k here…

Q: Graph the function by hand, not by plotting points, butby starting with the graph of one of the…

A: Given: y = 1 – 2 x + x 2   To sketch: The graph of  y = 1 – 2 x + x 2 using transformations.

Q: Graph the following transformations of your parent function y = |x| ソ=k+ ソ=ー

A: For y=2|x+1|, the parent function y=|x| is shifted left by 1 unit and contracted by 2 units. So, the…

Q: Which of the following transformations is equivalent to replacing the graph f (x) by the graph…

A:

Q: Graph the function by hand, not by plotting points, butby starting with the graph of one of the…

A: To determine: Graph of y=x-2-1 by applying appropriate transformation.

Q: 5.Explain the transformation of the following graphs from f (x)=x" Green - Purple-

A: Given: fx=x3

Q: The graph of the function y = V 5x - x² is given. Use transformations to create a function whose…

A:

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

A:

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

A:

Q: Put the transformations that turn the graph of f (z) = 3 to the graph of f (x) = -3z+2 +4 %3D First…

A: Let the given function y=fx=3xWe need tranform the graph fx=3x into fx=-3-x+2+4.

Q: 12. What transformations are applied to the parent function f(x) = x² to obtain the graph of the…

A:

Q: A function: 9 y =1 is shifted 2 units down, and three units left. The adequate 25 graph for the new…

A: Step:-1 Let y=fx be a function and it is shifted "a" units down than new function is y=fx-aTake hx…

Q: Start with the graph of  f(x) = 5x.  Then write a function  g(x)  that results from the given…

A: The graph of the given transformation is given.. To shift a function left, add inside the function's…

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: 10. a) What transformation are used to turn the parent function f(x) = x³ into g(x) : -(2³ – 3) +2.…

A: Given query is to find the transformation applied and then graph the function.

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

A: We have to check

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: Graph the pair of functions and identify the transformation of f(x) that produces g(x). S(x) =lx|-2,…

A: To identify: The transformation of fx that produces gx. Given: The functions are fx=x-2 and gx=-x+2.…

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: 4.) Sketch the graph, not by plotting points, but by starting with a standard function and applying…

A:

Q: 4 Use a transformation of the graph of y =x* to graph the function. f(x) = (x + 3)* Select the graph…

A: Consider a function fx. The horizontal shift in the graph by d units is given by the function,…

Q: What are the transformations to the graph compared to the parent function? 10 12 40 12 -4 Shifted…

A: To find what are the transformationto the graph compared to the parent function.

Q: Describe as completely as you can how the function h(x) = (* – 1)2 – 5 has been transformed from the…

A: Here, the parent function is: g(x)=-32(x-2)2+7 To get the function h(x)=32(x-1)2-5

Q: 7. Write a formula for the transformation of the function f(x)= |x that shifts the function's graph…

A: Consider the provided question, Given function, fx=x We need to write the formula for the…

Q: Start with the function y=r and apply the following five transformations: a) Shift Left by 8 units…

A: The function transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts…

Q: What transformations 4) f(x) = (x + 2)² + 7 happen to the graph from its parent function?

A: We have to find solutions As per guidelines we have to solve one question

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: Write the equation for the following function f(x). (Hint: There is only one transformation).

A: Consider the given figure as

Q: In two or more complete sentences, compare the number of x-intercepts in the graph of f(t)= t^2 to…

A: The x intercept is given by substituting f(x)=0. The x intercept can also be found by using graph…

Q: Describe the transformations of the following cubic functions from the parent function f (x) = r %3D…

A:

Q: For the transformation from g(x) = x³ S(2) = x + 2y' – 1 f(x) = (x + 2)³ – 1 - complete the…

A:

Q: Which of the following is NOT a transformation that can be used to graph the function f(z) = - 6(x –…

A:

Q: b) y = x5 3 2. 21

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: Refer to the graph shown below and evaluate | f(1)dt. -5 f(t) 6+t 6-t

A: Integrate in given interval

Q: 2. Identify the a, k, d and c values. List the transformations applied to the graph of f (x) to…

A:

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

A:

Q: Look at the graphs of the function f(x)=x^2-1 and g(x) =x-1 What transformation makes g(x) greater…

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: Choose all of the transformations from the parent graph of f(x) = x4 to g (x) = (-x - 5)4 - 2…

A: →If we want to draw Af(x) from f(x), then graph of f(x) either stretches or compresses by a factor…

Q: Which is an equation for the following function with the given transformations? Rational, reflect…

A: