Consider the function, y = -g(-±x+ 12) – 53 as a transformation of the function, g(x). Describe, in words, the five specific transformations represented. 5.

Q: Sketch the graph of of the functian given below. f (#,y)= 9 -x ²-y²

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Q: Use transformations of the graph of f(x) = x to determine the r(x) = (x- 2)3 +2

A: The graph of f(x) = x^3 is:

Q: The parent function of f(x)= x is transformed into g(x)=- x – 1+ 3. Using complete sentences,…

A: We can make it easier for you.

Q: Use transformations to sketch the graph of the function. y − 2sin 2x

A: Given: y = 2sin 2x

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: Use transformations to graph the functiony = (x - 3)2 + 2.

A: Given: y=x-32+2 Simplify the expression. y-2=(x-3)2 Let X=x-3 and Y=y-2 Now the equation is: Y=X2…

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

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Q: 8. Find the parent function, list all of the transformations in the correct order and sketch the…

A: From the given function it can be determined the parent function.

Q: 16. Use transformations to sketch the graph of f(x)= vx- 3+2.

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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: Which of the following is a graph of the function f(x) = 2-2x And its inverse, with the line Y = X?

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

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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: List the transformations in words for the following function g(x) = - (x - 1 b) Using the…

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Q: Graph the function using transformations. f(x) O A. O B.

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

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Q: differentiate y= (4x + 3)2 using the Chain Rule. a. What is the outer function? b. What is the…

A: Given: y=4x+32

Q: Which transformation is used to obtain the graph of f(x)= -2X from grape of f(x) = 22?

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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: Sketch the graph of the function, not by plotting points, but by starting with the graph of a…

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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: Compare the graphs of the functions. Y, = In(2x) and Y2 = In 2 + In x

A: we have to compare the graphs of  Y1=ln(2x) and Y2=ln2+lnx

Q: Describe the transformations that map the function y=2^x on the function y=2^x+3

A: Solution

Q: h (x) = Vx + 5 + 8

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Q: Sketch a graph of the function f(x)=0.5sin(3x)

A: The given function is f(x)=0.5sin(3x)   Here 0.5 is the amplitude and 2*pi/3 is the period and we…

Q: 7) flx) = |x] g(x) = -2[x| 8) flx) = [x| g(x) = 3|x – 1| 9) slx) = Vr glx) = 10) f(x) = x² --Vx + 3…

A: Since you have posted multiple question in this question so I have solved first three parts as per…

Q: 2. Graph the function f(x) = 2*+ 2 and compare it to the parent function f(x) = 2* Describe the…

A: The graph of the functions given below

Q: Use transformations of f(x) = x to graph the following function. g(x) = /x +3

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Q: The inverse of the graph of function j(x) below will be a function:

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Q: What Transformation will take LHGF to ZGCB? Write the description in function notation. y=

A: (a) The objective is to find the transformation which take ∠HGF to ∠GCB. From the graph it is seen…

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

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Q: Describe the transformation of the root function f(x) = x² to the function g(x) = -(x – 2)2 + 1

A: Two functions are given by: f(x) = x2  and  g(x) = -(x - 2)2 + 1  Here, f(x) transforms to g(x). We…

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: Sketch the graphs of f and g in the same coordinate plane. x) -5*, g(x) logs x y y

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Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Q: Consider the function: y = -a2 +3 What is the base graph and what are the transformations for this…

A: Let's Solve,

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

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Q: Describe the transformation to the graph of a toolkit function. h (z) = (}r)* – 3

A: We have to describe the transformation to the graph of a toolkit function.

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

A: Consider the given figure as

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

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

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Q: Suppose a transformation of the parent function f(x) = 10^x is given as g(x) =10^x -8. Determine the…

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Q: The graph above is a transformation of the function r

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Q: The parent function f(x)=2 ^x and its transformation g(x)= 1/2 x 2 ^x are shown on the graph below.…

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Q: Shift 2 units left

A: solution

Q: Graph the function by starting with the graph of y= and using transformations. f(x) = -4(x - 1)2 - 1

A: We need to graph f(x) = -4(x-1)2-1. We will start with the graph y=x2. Let us shift the graph 1…

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

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Q: 4) f(x) = x² g(x) = -x² + 3

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Q: Sketch the graph of f(x) = -(x-3)2  + 4 using standard transformation techniques.

A: Suppose the basic function is y=x2 Now, The graph is

Q: Graph the following transformations of your parent function y = |x| y

A: The given functions are 1. y=x-42. y=x+9

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.