Use transformations of f(x) = x to graph the following function 9(x) = 2(x+3)² – 3

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: Sketch the graph of f.

A: Consider the given information. fx=ex-2 Make the table for the function. x fx=ex-2 -2 e-4 -1…

Q: Sketch the graph of the function defined piecewise by the formula f(x) = {0,x 1.

A: fx=0 ,             x≤-11-x2,   -1<x<1x,                x≥1

Q: Sketch the graph of f.

A: The function fx=ex2

Q: Use the graph of f(x) = x2 to obtain the graph of h(x) = (x + 1)2 - 3.

A: To use the graph of f(x) to obtain the graph of h(x).

Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x + 1.

A: g(x)= 2x + 1 = f(x)+1 This means f(x) will move 1 unit up to make g(x). Graph of f(x) is:

Q: graph the function f(x)= -(x-1)4 using transformations.

A:

Q: What does the transformation f(x)↦1/6f(x) do to the graph of f(x)?

A: The transformation rule of function: The graph of the function af(x) is same as the graph of the…

Q: Describe the transformations of the graph of f(x) = 2.2x that yield the graph of g(x) = −2.2x + 4.

A: Given functions are: f(x) = 2.2x g(x) = - 2.2x  +4     The red colored graph represents the…

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: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: Express f(x)= x2 +4x + 1 in standard form. Find thevertex of the graph and the maximum or minimum…

A: We will complete the square for f(x) Answer(a): Standard form: f(x)= (x+2)2 -3

Q: Sketch a graph of f. f(x) = 3x %3D

A:

Q: 10. Graph the piecewise-defined function. f(x) = { 4 2x 3 if x 0 |

A: here i am taking f(x) = y (which is obvious) first drawing graph of  y= 2x-3

Q: Describe the transformation of f ( x ) to  g ( x ) f ( x ) = x + 2   g ( x ) = 3x + 2

A: Given  f(x) = x+2  g(x) = 3x+2

Q: Let f (x) = x2. Sketch the graph over [−2, 2] of: y = f (x) + 1

A: Given : The function is f(x) = x2 .

Q: Find the Derivation of the function 1. f(x) = xcosx² %3D

A: 1.f(x)=xcos x2

Q: Graph the function using transformations. 39) f(x) +2 x2

A:

Q: Sketch the graph of the function f. -{"2x+3 Sx - 6 if x s 3 if x > 3 (x)

A:

Q: Sketch the graph of f(x)= x2 + 1

A: Given Data The equation of the graph is fx=1x2+1.   The graph of the equation fx=1x2+1 is,

Q: Sketch the graph of the function. (3x + 3, X ≤ -1 k(x) = 3x²-2, -1 1 y

A:

Q: Sketch f(x) =5; +3 using transformations.

A: The requirement is the graph of the function fx=5 12x +3 using transformations.

Q: The graph of f) = x' is transformed to create the graph of g(x) = f(x) – 3 . Which graph best…

A: given function

Q: Sketch the graph of the function by starting with the graph of a standard function and applying…

A: Firstly we draw the graph of standard function y=|x|

Q: Graph the function F(x) = 2 - 1/x+1 using transformations.

A: Y = 1/x.

Q: Sketch the graph of the function. 4+x if x < -2 f(x) = {x2 %3D if -2 sx < 2 6- x if x 2 2

A:

Q: Use the graph of f(x) = |x| to graph g(x) = – |2x|.

A: To obtain the graph of y=-|2x| from that of y'|x| by using a sequence of transformations

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: If f(x) = 2x² – 3x + 1, use transformations to graph y = -f(x) and y = f(-x).

A: Given, f(x)=2x2-3x+1 To graph: y=-f(x)  =-2x2-3x+1  =-2x2+3x-1y=f-x  =2-x2-3-x+1  =2x2+3x+1 So,…

Q: Use transformations to graph the function. m (x)- -3 +

A: Here by using the transformation to graph the function  m(x)=-|(1/2)x+3| .

Q: Graph f(x) = 2(x + 1)2 - 4 using transformations

A: Given: fx = 2x+12 -4 To graph: The given function using transformations.

Q: 3. Use transformations to sketch a graph of the following: f(x) = |x+3|– 4 %3D

A:

Q: 19

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Q: Graph f(x) = 3(x + 1)3 - 2 using transformations.

A: The given function is f(x)=3(x+1)3-2

Q: Use the Chain Rule to differentiate the following function. +4-3x = (x),}

A: The given function, f(x)=x4+4-3x2

Q: how does the graph shoft from f(x)=2x to f(x)=2x+4

A:

Q: Graph the function f(x) = - 3(x + 1)2 + 5 using transformations.

A: The given function is  fx=-3x+12+5 Let the original function will be y=x2 The transformations will…

Q: Sketch the graph of f(x) =1−2x /(x−3)^2close to x = 3

A: First list some coordinates for the given relation as shown in below table.

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: Graph the function using translations. f(x) = 3x+1

A: Given- f(x)=3x+1 We have to graph the given function using translations.

Q: Use transformations of f(x) = to graph x2 1 g(x) = (x-2)2 1.

A: Here we find the correct garph for function g(x)

Q: Sketch f(x) = 5 +3 using transformations.

A:

Q: Sketch the graph of the function f(x) = x³ – 2x² – 5x + 6 using calculus – based analysis. -

A: Given problem:- Sketch the graph of the function f(x) = x3 – 2x2 − 5x + - 6 using calculus - based…

Q: Determine where the graph of f(x) = |x - 3| is increasing and where it is decreasing.

A: To determine: The intervals where the function f(x)=x-3is increasing and decreasing. Given…

Q: how does the graph shift from f(x)=2x to f(x)=2x+3

A: Given function are fx=2x and fx=2x+3 We have to find number of the graph shift from fx=2x to fx=2x+3…

Q: Graph the basic function using a solid line and the transformed function using a dotted line. h(x) =…

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Q: Describe the transformation of f ( x ) to g ( x ) f ( x ) = 2x g ( x ) = 2x + 3

A:

Q: Graph the function using transformations. f(x) =+2

A:

Q: 4) f(x) = x² g(x) = -x² + 3

A: