If f(x)=x^2 and g(x) is the graph of f(x) shifted to the right 3 units, stretched vertically by a factor of 4, then reflected about the x-axis, and finally shifted up 2 units. Find the formula for g(x). Write your answer in the form g(x)= ax^2 + bx + c

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Q: 28)Use the graph to solve a) f(x)0 -fx)

A: To solve the given equation and the inequality , straight from the graph of y=f(x).

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A: Solve the derivative

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A: Our objective is to find the rate of change of the profit.

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A: Given:  f(x)=5-6x                y=5-6xDidderentating y=5-6x   with respect to 'x'  and substituting…

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A: We havefx=4x3+6x2−54    ..........1

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A: Given,         The graph of f(x)=3x  is reflected about the y-axis and stretched vertically by a…

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Q: Find a function whose graph is a parabola with vertex (5, -4) and that passes through the point (1,…

A: Please refer the attached image for complete solution.

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A: I have appended the formula used in the solution part.

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A: Solution:Given        f(x)=3x2-4   at (1,-2)To find:Slope of the line tangent to the graph The…

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A: It is given that, f(x)=x2-3x+4   Slope of any function or tangent of any function is defined as the…

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A: y = x3-17x2+63x+6 y'=dydx=ddxx3-17x2+63x+6 Here we are gonna use the formula  ddxxn=nxn-1

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A: Given, f'(x)= -12x+5

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Q: Find the derivative of f(x) = -2x Or) - 6x2 Of (x) = -6 x2 Of (x) = -6 x3 %D Or-6x* f (x) = 6 x4 %3D

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A: Given: The function fx=4x2x3-9-9x8x+5 To find: The equation of horizontal asymptote of the graph of…

Q: Find a function whose graph is a parabola with vertex (5, -2) and that passes through the point (4,…

A: To find a function whose graph is a parabola with vertex 5, -2 and that passes through the point 4,…

Q: b. f(x) = 4/x(2x° -4x° %3D

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Q: Differentiate the function. y = ln (square root of 5+8x/5-8x)

A: Given that: y=ln5+8x5-8x

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Q: f (x) = - 4x² - 6x x²+3

A: The given function is f(x)=4x2-6xx2+3. Find the derivative of the function. Here we use the…

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A: Find f' (x) then we check f(x) increasing Or decreasing.

Q: graph

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Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

A: The equation of the curve is given by fx = 3x2-x-5 The point is x = 1 Formula Used: mtan = dfdxx=1…

Q: Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (1,…

A: Topic =Parabola

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A: Consider the quadratic equation:

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Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75

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A: Given that the profit function of selling x units of a product is given by Px=-0.2x2+400x-2500. It…

Q: Find a formula for the quadratic function whose y-intercept of y = 3 and x-intercepts at x = 1,…

A: Given: y-intercept y=3 x-intercept at x=1,4

Q: Do you agree with the statement that  cubic functions must have aleast one  x intercept but no more…

A: According to the given information, it is required to explain the given statements. First it is…