9) Evaluating Compositions of Functions from Graphs On the graph, the parabola is f(r) =r-2r-3 and the line is g(x) =x-2. Use the graph to find f(8(2)). g(2) = %3D f(g(2)) = %3D

Q: A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is…

A: Let's find.

Q: The function f(x) = 2x – 30x + 126x + 2 has one local minimum and one local maximum. This function…

A: The given function is  fx=2x3−30x2+126x+2

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Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

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Q: Approximate the point of intersection of the graphs of fand g. - ([ (х, у) %3D y 12 f g -8 -4 8 -4…

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Q: A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is…

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Q: #15

A: We have to choose the graph

Q: 7 The graph of the function g(x)= (x+m)² +n• the x-axis at the points (-2, 0) and (3, 0). Finc the…

A: Given,          The graph of the function gx=x+m2+n cuts the x-axis at the point          -2,0 and…

Q: A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (-5,…

A: We have to find the vertex of the new function g(x) .

Q: A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is…

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Q: The function f(x) = 2x° – 30x² + 144x + 6 has one local minimum and one local maximum. Use a - graph…

A: We can find the Maxima and minima of the function by finding the first derivative and thus finding…

Q: 5. A rectangle is bounded by the x- and y-axes and the graph of y = -x + 6. *+6. a) Find the area of…

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Q: Enclosing a Rectangular Field Beth has 3000 feet of fencingavailable to enclose a rectangular…

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Q: The function f(x) = 2x – 39x? + 180x + 10 has one local minimum and one local maximum. | Use a graph…

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Q: The graph of f(x) = 9(x - 2)2 - 6 is a parabola that opens upward with its vertex at (x, y) = | 2, –…

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Q: Determine a quadratic function whose graph has x-intercepts of (6, 0) and (−4, 0). f(x) =

A: f(x) =(x+6) (x-4)

Q: The quadratic function f(x) = a(x – h)² + k is in standard form. (a) The graph of f is a parabola…

A: Given f(x)=a(x-h)2+k (a) Verex=(h,k)∵ The graph of f is a parabola with vertex…

Q: The function f(x) = 2x³ – 33x² + 60x + 10 has one local minimum and one local maximum. Use a graph…

A: The given function,      fx=2x3-33x2+60x+10

Q: The function f(x) = 2x° - 36x + 210x + 10 has one local minimum and one local maximum. Use a graph…

A: Topic - application of derivatives

Q: A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (-4,…

A:

Q: A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (-5,…

A: Given a function f(x)  Vertex of the function f(x) is (-5, -3)  Vertex of the g(x) =-f(x) +3

Q: Describe the graph of the function. f(x) = x2 + 3x +  5 4  parabola opening…

A: We have given a function,

Q: . Draw a high-quality graph by hand on graph paper for the function f(x) = x3 – 3x + 3. Your work…

A: How to calculate first derivative to find  maxima and minima. Second derivative to find the…

Q: The function f(x) = 2x – 27x2 + 48x +1 has one local minimum and one local maximum. Use a graph of…

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Q: The function f(x) = 4 + 4x + 16x -1 has one local minimum and one local maximum. This function has a…

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Q: The function f(x) = 2x³-36x² + 210x + 11 has one local minimum and one local maximum. Use a graph of…

A: The given function is  fx=2x3-36x2+210x+11

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A: Given information: A ball is thorwn upwards and outwards from a height of 5 feet. The height of the…

Q: The function f(x)=2x3−33x2+168x+9 has one local minimum and one local maximum. Use a graph of the…

A: To estimate (approximate calculation) the local maximum and local minimum of the given function…

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A: Given that f'(x) is a cubic polynomial.

Q: 5. Given the quadratic function f (x) = 4x -8x+9., answer the questions below. Express the function…

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Q: all the relative extreme points and inflection points for the graph of y = 1 + 3x^2 − x^3

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Q: Let p= 25 - square root x and ​C(x)​= 225 +5x, where x is the number of garden hoses that can be…

A: Revenue=selling price × quantity

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Q: 9) An open box with a square base (side length = x) is to have a volume of 108 cubic inches. a)…

A: a) An open box with base a square has volume 108 cubic inches The side length of base is x inches By…

Q: The function f(x) = 2x³ Use a graph of the function to estimate these local extrema. 42x2 + 270x +4…

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Q: A trough is 3 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end…

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Q: The function f(x) = 2x -27x2 +48x +8 has one local minimum and one local maximum. Use a graph of the…

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Q: 6. f(x, y) = x³y + 12x² – 8y

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Q: Determine a quadratic function whose graph has x-intercepts of (4, 0) and (−2, 0).   f(x) =

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Q: 5. Find the requested information for the function using its graph: y y-intercept: zeros &…

A: According to the graph, we have

Q: 15. A farmer wishes to enclose a rectangular region. He has 500 feet of fencing and plans to use his…

A: (a) The length of the fencing is 500 feet that is the perimeter of the region. Consider the…

Q: The function f(x)=2x^3−30x^2+54x+1 has one local minimum and one local maximum. This function has a…

A: See the details solution in below

Q: The function f(x) = 3 + 4x + 64x has one local minimum and one local maximum. This function has a…

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Q: A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is…

A: For a quadratic function, the standard form is represented by the equation, y=ax2+bx+c and the…

Q: The figure shows a rectangle with two vertices on a semicircle of radius 3 and two vertices on the…

A: The figure shows a rectangle with two vertices on a semicircle of radius 3 and two vertices on the…

Q: 1) Find the maximum area of a rectangle ABCD (in the first quadrant) whose the vertex C lies on the…

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Q: A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (–6,…

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Q: Consider the Quadratic function f(x) = x² – 3æ – 28. Its vertex is Its smallest x-intercept is x Its…

A: If quadratic equation is given as , Then the x-coordinate of the vertex of this equation is given by…