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

Q: The graph of the function x = y² + 5 is symmetric about %3D the

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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: Sketch the graphs of y = xn and the transformation. y = x4, f(x) = 6 − x4

A: the given function is y=x4 , f(x)=6-x4

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: 2) y=-5+ Vx+ 1

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Q: 6. Create a graph of the function: y = x(x – 2)²(x + 1) -

A: Graph of functions is given.

Q: (3x + 1 if x< 1 if x21 Sketch the graph of f(x) = 3

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Q: Sketch the graph of the function f (x, y) = 10 – 4x – 5y.

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

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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: Graph t(x) = (x – 2)³ + 1 by starting with the graph of y = x³ and using transformations.

A: We know that the graph of y=x3 can be plotted on co-ordinate axis as

Q: snip

A: To graph the function

Q: Sketch a graph of f(x) = – 1|x| %3D -

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Q: sketch the graph of function Xy-y-1=0

A: xy-y-1=0 we can draw the graph of the function

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 y = 2(x + 1) 2 - 3 using transformations

A: Given: y=2x+12-3

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: Create a graph the represents g(x)=1/3x^2 then describe the transformation

A: Given, To graph g(x)=13x2

Q: Find the inverse of ƒ(x) = x + b (b constant). How is the graph of ƒ -1 related to the graph of ƒ?

A: To find the inverse we plug f(x)=y Then switch x and y and solve for y

Q: The graph of f(x)=/x is reflected in the x-axis, then shifted 6 units to the left, and 2 units…

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

Q: use transformations to graph f(x)=6x+3

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Q: 4) y= V4x + 8 -2 9-

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Q: 1. How does the graph of f (x) = vVx – 2 differ from the graph of y = Vx+ 3 ?]

A: The value of sqrt(x-2) is differ from the value of sqrt(x+3).

Q: Below is the graph of y = x Transform it to make it the graph of y =-x-2+1. 4 -2- -4- 6- 2,

A: solution is given below..

Q: Sketch the graph of the floor function f(x)= |x +1|| over the interval [-3, 3)

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Q: Sketch the graph of y = f(2x) and y = f(½x), where f(x) = lxl + 1

A: It is given that, f(x)=|x|+1   and if y=f(2x), then the function will be, y=f(2x)⇒y=|2x|+1⇒y=2|x|+1…

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

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

Q: Sketch a graph of f(x) if r-2 if -2 4

A: Given,  f(x)=2x+6if x≤-20if -2&lt;x≤41.5x-6if x&gt;4

Q: Where does the graph of fx equal 3e^x-x/2 have a horizontal position

A: A function takes a horizontal position at a point where x=a if f'(a)=0.

Q: Sketch the graph of the function (+) = {2x + 1 ifx>1 if x 1 Sx²

A: Here the given function as fx=x2x≤12x+1x&gt;1 We have to draw graph y=x2 when x is less than or…

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: The graph on the left was created by transforming f(x) = x'. Determine the equation of the graph.…

A: We need to determine equation of graph.

Q: Consider the function: y=3|x+2|−1 What is the base graph and what are the transformations for this…

A: Consider the given function y=3x+2-1

Q: Sketch the graph using the transformation process. f(x) = 3e1-x + 2

A: Given: The function is f(x)=3e1-x+2. Consider the function f(x)=ex.

Q: Graph x- t²- t+y on

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Q: Find the gradient of the graph a) y = 6-3x where x = 5 )y= 12 + x-3x? where x = - 3

A: Find the gradient of the function

Q: Explain how to identify the graph of : Ax2 + Cy2 + Dx + Ey + F = 0.

A: If an equation has a square form of the variable  or a square form of the variable  or a square form…

Q: Find the function whose graph is a parabola with vertex (1, -4) which passes through (7, 8) Express…

A: Here, vertex is (1, -4) and the passing point is (7, 8).

Q: Obtain the graph of y = -V-x+8 using transformations of the graph of y = Va. Explain each step.

A: The graph of y=x is as follows

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

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Q: Sketch the graph of f(x)=(x+2)³/²+1 stretch vertically by factor of 3.

A: Given: The function is, fx=x+23/2+1

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: 6. Graph f(x) = Vx + 2-3 4- 3- 2- 1- -3 -1- -3- 4- -5+ -6+

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Q: Sketch the graph using the transformation process. f(x) = (3/4)x - 2

A: Known fact: The graph of y=fx-a,   a&gt;0 can be obtained by shifting the graph of y=fx with a units…