The graph of the function f(x) = x² is given below: %3D 6 -6 -5 -4 -3 -2 - Below is a graph of g(x) a linear transformation of f What is the expression for g(x)= Preview -6 -4 -3 -2 - Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question

Q: Sketch the graph of the function. (4 - x2, x < -2 h(x) = 5+ x, -2 <x < 0 %3D 2+1, x 2 0 y

A: Given : for x &lt; -2 it is parabola opens downward as  sign of x2 is negative: for [-2, 0) it is…

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

A: Chain rule with exponents

Q: If f(x)f(x) is a function, how is the graph of g(x)=2f(x-5)g(x)=2f(x−5) is different from the graph…

A: we use function transformation

Q: How to solve step by step: use transformation to graph f(x)=3(x+2)^2-4

A: Basic parent function is: g(x)=x2 f(x)=3(x+2)2-4  f(x)=3g(x+2)-4 So, g(x) shifted 2 units left,…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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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: Consider the image attached of the graph of the function y = |x2 - 3x - 10|. Give the multipart…

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Q: The graph of a function contains the points (2,11),(-1,5),(-3,21) and (x,y).  What could (x,y) be?

A: The given points are 2,11, -1,5, -3,21. The graph of the function is as follows:

Q: The graph of f is perpendicular to the line whose equation is 4x - y - 6 = 0 and has the same…

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Q: If we use reduction to order method, which pairs of transformations canbe used for y'

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Q: tion: -15 +10 1-51 10 15 15 10 15 10 15 X

A:

Q: In 2000, 45% of the residents in a large city regularly used newspapers for getting news and this…

A: We will find the equation of P(x) as shown below where X=1,2 ,3....…...after 2000

Q: In 2000, 45% of the residents in a large city regularly used newspapers for getting news and this…

A: We will find the function P(x).

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: With utilization of the product rule for functions of one variable, show how it could be viewed as a…

A: Take the function, f(x,y) x,y are variable.

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 end behavior to explain why f(x) = -49x3 + 806x2 + 3776x + 2503 is only an appropriate model for…

A: Consider the polynomial: fx=-49x3+806x2+3776x+2503Leading Coefficient=-49NegativeDegree=3Odd If the…

Q: In 2000, 53% of the residents in a large city regularly used newspapers for getting news and this…

A: Given Data: The percentage of residents regularly used newspapers in 2000 is: y=53% The decreasing…

Q: Graph polynomial functions using transformations

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Q: etermine the equation of the function shown in the graph. y 1125 ( 256) -2\-18. 3 1 (-1,-32)

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Q: Find an equation for the graph sketched below 7- 4+ -5 -4 -3 -2 -7, 4 -2 -3 -4 -5 9- -7 f(x) = %3D

A:

Q: Determine the end behavior of the graph of the function. n(x) = -5(x+1)(3x-1)°(x+6) As x-- 00, n (x)…

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Q: Graph of f

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

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

Q: The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2…

A: The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2…

Q: A new company gains 125 customers each year. Each year they also lose 42 customers. Write a linear…

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Q: Find increasing and decreasing function with graph

A: Find increasing and decreasing function with graph

Q: sketch the graphof the function.y = 2−x2

A: Graph of the function can be drawn with the help of the points that lie on the curve. Substitution…

Q: Suppose an insect population increases by a constant number each month. Explain why the number of…

A: Given : An insect population increase by a constant number each month.

Q: Find the piecewise function from graph. 4 3 -4 -3-2 -1 1 2 3 4 1+ 2+ 3

A: From the given graph the first piece is between -4≤x≤-1. That is a linear function ( a line) passing…

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

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

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

A: Let's Solve,

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: During a snowstorm, a meteorologist tracks the amount of accumulating snow. For the first three…

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Q: Sketch a graph of f(x) = – 2|x| %3D 5+ 4 2- -5 -4 -3 -2 -1 1 2 3 4 -2- -4- -5+ Clear All Draw: 3.

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Q: Find the equation of the linear function whose graph is given here. Use the letter x in your answer…

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Q: Find an equation for the graph sketched below 8+ 6- 4 3- -5 -4 -3 -2 -1 1 1 2 3 4 $ -2- -3 -4 -5 -6…

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Q: Identify the graphs of the nonlinear functions. Select all that apply.

A: Given: The graphs of the functions To identify: The graphs of non - linear functions.

Q: Sketch a graph of the piecewise defined function.

A: Solution:Givenf(x)=0if x≤23if x&gt;2To sketch the graph of the given function

Q: The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same…

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Q: Differentiate a function using chain rule H (x) = 1/(9x2 - 16)3

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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: (1-x)

A:

Q: Explain the Functions that are Nonlinear in the Parameters with example?

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Q: Can someone please, Moving forward, you will need to include this discussion, the four key elements…

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Q: Use graph transformation theory to sketch the graph of f(x) = -;(x+2)² +3.

A:

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…

Q: Explain how the graph also represents a linear piecewise function.

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…