Determine the transformations that must be applied to the graph of each function  to obtain the transformed function.      f(x)=x^3,   y=-2f[1/5 (x+3)]-4 - Write the transformed equa

Q: Compare the graph to its parent function (the basic elementary function). Then, describe how the…

A:

Q: Explain The Chain Rule with Powers of a Function?

A: Chain rule with exponents

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: When trying to graph a function /(<) = -¿A2x + 6), which transformation should be applied last? a) a…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n…

Q: explain horizontal and vertical asym.

A: Given : We have to explain the horizontal and vertical asymptotes for the given graph.

Q: Describe the transformation.

A: From figure there is∙ horizontal shift to right by 5 units∙ verical translation down by 3 units

Q: Shift the function f(x) = x² + 2x + 1 two steps rightward and one step upward. Graph the original…

A:

Q: The function g(x) = -2(32x-6)+9 is the result of transformations of f (x) =3x Using the proper…

A: Given, the function                 g(x)=-232x-6+9

Q: A population of 55 foxes in a wildlife preserve doubles in size every 10 years. The function y = 55•…

A: The graph is shown below:

Q: Write an equation for the transformation of the parent function.

A:

Q: Describe the transformation of each function compared to its parent function

A: Solve the following

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: Use transformations to graph the function. 1) y = 5 sin x 2+ X -70 2n -4- -6- 2

A:

Q: Using the first and second derivatives, sketch a graph for y=3x^3-4x^2-2.

A: Solution: The objective is to graph the given equation y=f(x)=3x3-4x2-2

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: . Describe the transformations that must be applied to y = x to obtain the function f(x) = – (x +…

A:

Q: The reciprocal function decreases on ______________

A: Answer: The reciprocal function function decreases on negative infinity

Q: I just need the Determine the transformations compared to the parent function

A: We need to determine the transformation in parent function.

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+6) at (2,8). The equation of…

A: This question is based on application of derivative to find slope of tangent line.

Q: For each of the six functions, describe how its graph is a transformation of the graph of f(x) =…

A: Solve the following

Q: escribe the transformation of the function y=-2(x+3)^2-1

A: Explanation: Given function is quadratic. We know that, parent quadratic function is: Graph of this…

Q: Use the "Big Idea" of transformations to find equations for these two functions.

A:

Q: Sketch the graph of the function by first making a table of values. fx) = -x + 4, -4 sxs 4 f(x) = -x…

A: Given: F(x)= -x+4

Q: Find the points on the graph of the function that are closest to the given point. Rx) - х2, (0, 7)…

A: A detailed solution is given below.

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: describe the transformation of the function y=1/x+3 -4 from the parent function y=1/x

A: Transformation means how much a function moves to the left, right, up or down from the parent…

Q: What is the function that results from the transformation ?

A:

Q: y = 6(x)' + 6

A:

Q: The sum of two positive numbers is 60. Find a function that models their product P in terms of x,…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: How do you prove step by step that this equation: y=2x+1 is a function?

A: The solution are next step

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

A:

Q: The polynomial parent function y = x* has been transformed. What is the equation of the new image

A: Introduction: The shifting properties of a graph are very significant. Using these laws, one can…

Q: Find the range of the function y = -2|x – 3| + 2. O (-∞,2] O (-∞, ∞) O (-∞, 2) O [2, 0) O [3, ∞) O…

A:

Q: y = x^3 - 1 y = 2^{x-1} y = 2^{-x} y = (x+3) For each function, give the domain…

A: 1. y=x3-12. y=2x-13. y=2-x4. y=x+3

Q: State the transformations that have been applied to the function g(x)=-[2(x-4)]^3 -5 (Reflections,…

A:

Q: Please sketch the graph of f(x) 2x2+12x+5 by first describing transformations. Thank you.

A: Given: fx=2x2+12x+5

Q: When examining the formula of a function that is the result of multiple transformations, how can you…

A:

Q: how using transformations can help one graph functions?

A: f(x) = known parent function, like sin(x), cos(x), ..., exp(x), ln(x), .etcg(x) = transformed…

Q: Compare each graph to its parent function (the basic elementary function). Then, describe how each…

A:

Q: The cumulative number of cases of AIDS(acquired immunodeficiency syndrome) in the United States…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: What is the function of the graph in the image?

A:

Q: Determine the end behavior of the graph of the function. 1 f (x) = -x°- 2x* -x° +7 As x - -00, f (x)…

A:

Q: Supposed that from 2020 to 2060, the number of females in the U.S. under the age of 18, in millions…

A: Given Data: The number of females in the US under 18 is: N=0.140x+36.4 The slope of the graph of the…

Q: Differentiate the function y = -5e".

A: Given that, the function is y=-5e0. In order to find the derivative of y=-5e0, simplify the function…

Q: f(x) X+T

A:

Q: x+2 f(x) = + 1

A: The given function is: fx=-14x+2+1

Q: Graph the function step by step and determine the transformation function  Y=-x|x|

A: The given function is y=-xx

Q: Sketch the graph of the function. y = csc x/2

A: We have to graph of y=csc x2 First, we will make a table of cosec x2

Q: Identify the maximum and minimum values of the function y=10cosx in the interval [-2pi, 2pi]. Use…

A: Our objective is to find the minimum and maximum value.

Q: Use function notation to represent that your annual salary after working five years at your job is…

A: We will find the required function as following.