Use transformations on the basic function listed below to write a rule yf (x) that would produce the given graph. Square root function: 1 1 4 2 3 16 4 The rule that would produce the given graph is f(x)

Q: For the function f(x)=-x² +4x- 2 Complete the square and sketch the graph of the function f(x) by…

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Q: The function shown is graphed on a coordinate grid, where m, n, and p are real numbers f(x) = m * (x…

A: Given problem is : The function shown is graphed on a coordinate grid, where m, n, and p are real…

Q: a) Find the global maxima and minima for the function x² +2y? on the interior of the triangle with…

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

Q: Let f(x) = -0.4x² + 9x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A: Giveen query is to find the x coordinate of the vertex.

Q: 17) For the function: f(x)=(x+5)(2x-3) | A) Find the intercepts. B) Convert ot General form, then…

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Q: Consider the graph of the function s(x) = x² + 6x + 9. Part B: The graph of s(x) is translated to…

A: Solve the following

Q: Let f(x) = 3x³ – 4x² – 6x + 1. a. The degree of the function is so the graph of the function has at…

A: The given function is f(x)=3x3-4x2-6x+1 ...................(1)

Q: F(x)=2x^2-4x-2 Find the vertex and show work

A: Consider the given equation. fx=2x2-4x-2 The objective of the problem is to find the vertex. The…

Q: Q3) Let f(x) = x², draw the graph of (x + 2)², what is type of this shifting and what is the value…

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Q: The graph of f(x) = x² is shifted 3 units to the left. This graph is then vertically shrunk by a…

A: Given: f(x)=x2 shifted 3 units left vertically shrunk=15along x-axis shifted downwards by7 units

Q: C D A= Ao C= A0 II. Select one of the four sketches to describe the end behavior of the graph of th…

A: To find end behavior, degree of leading term and sign of leading coefficient of graph shown in…

Q: f(r) = 2x- 33x2 + 108x +9 This function has a local minimum at x equals The minimum height is This…

A: f(x)=2x³-33x²+108x+9 To find local maxima, minima, maximum and minimum value

Q: 14) For the function: g(x) = 3x2 -30x+78 %3D A) Convert to standard (vertex) form. gox) = 3( x"-1ox…

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Q: 2. Express the following function in standard form using completing the square: f(x) = - 2x2 - 12 x…

A: Consider the general form of the parabola , y=a(x-h)+k  Axes of symmetry is x=h Vertex is (h,k)…

Q: x2 – 2r – 3 x² – 4x – 5 cx) = 2. Fill the Table: 3. Graph the function:

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Q: Identify the vertex of the following.f(x) = x2 − 4Use a graphing utility to verify your results.(x,…

A: Important points: 1. To find the vertex, first we will write the given equation in a parabola…

Q: 10. Graph the function. f(x) = -2(x- 4)(x + 2) %3D

A: Topic = Parabola

Q: skecth the graph a) f(x)=(x-2)2(x+3)   b)f(x) = x2-1/x   c)f(x) = 2x/x2-1    d)f(x) = -23 + 7x2 - 2x…

A: To sketch the graph of given function :

Q: Find all local minima and maxima for the function x2 + 8x – 20 f (x) = x – 6 Explain how you can…

A: Given: Graph:

Q: Let f(x) = -0.4x² + 13x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

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Q: Which statement below describes the relationship between the graphs of (x) = Inx + 2 and g(x) =…

A: Given: fx=lnx+2 and gx=2lnx To Find: Which statement below describes the relationship between the…

Q: A swimming pool company is selling pools and offers building pools from 1 foot to 15 feet deep. The…

A: Given: Swimming pool company offers building pools from 1 foot to 15 feet deep. V=d(50-3d)2 Where V…

Q: Find the vertex of the given quadratic functions. Describe the location as a transformation of the…

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Q: x 3 to find -x + 9 x > 6

A: Answer is 18

Q: Find all x intercepts and y intercepts of the graph of the function. F(x) = x^3 – 4x^2 – 25x + 100…

A: Given: F(x) = x3 – 4x2 – 25x + 100

Q: 8. Explain what transformations you would need to apply to the graph of y = f(x) to graph the…

A: Given graph: y=fx We have to explain the transformation to the function gx=-5f-4x-8+7.

Q: %3D Let X be the graph of f(x) = x2/3 given below

A: Follow the steps.

Q: Find expressions for the quadratic functions whose graphs are shown f(x)=graph 1 and g(x)=graph 2.

A: Given data: The first point given in the graph is: (x1, y1)=(7,0). The second point given in the…

Q: Find all local minima and maxima for the function x2 + 8x – 20 f(x) = Explain how you can know which…

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Q: Identify the vertex of the following.  f(x) = −x2 − 4x + 2Use a graphing utility to verify your…

A: Compare the given function with y=ax2+bx+c a=-1, b=-4, c=2 For vertex:

Q: y=-x' -x² +3 %3D

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Q: Consider the function g(x) = x² + 4x – What is the vertex of g ? The x -intercept(s) of g is/are…

A: First, we will convert the given equation into the vertex form by completing the squares.

Q: 4. Express the following function in standard form using completing the square: f(x) = - 2x - 8 x-1…

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Q: The graph of f (x) = x2 was transformed to create the graph of g (x) = (x - 3)2. Which of these…

A: We’ll plot the graph for both the functions to get the idea of the question. f(x)=x2 is shown in red…

Q: Identify the vertex of the following.f(x) = (x − 6)2 + 3Use a graphing utility to verify your…

A: f(x) = (x − 6)2 + 3 is in vertex form  We compare it with  f(x)=a(x-h)2+k  So, h=6 and k=3    So,…

Q: 2. Given below is the graph of a degree 6 polynomial function, y = p(x). If p(-1) = -12, find a…

A: Graph of a degree 6 polynomial function y=p(x), p(-1)=-12.

Q: x+5 Graph the function: f(x) %3D x2 +2x -3 ||

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Q: F(x+6) %3! -27 How is the graph of the square root parent function, f(x) = x, transformed to…

A: How the graph of the function gx=2x+6 -2 obtained from the graph of fx=x

Q: Draw the graph of g(x) = f(x + 2) below. After finishing the graph, click outside the grid to stop…

A: Known fact: The graph of y=fx+a, a>0 can be obtained by shifting the graph y=fx, a units left…

Q: f(x)= (-1)/(3(x+1))+1 Domain and range

A: Given the function (-1)/(3(x+1))+1 We need to determine the domain and range of the function. Domain…

Q: The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to…

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Q: Of (x-2)-3 Use the following graph of f(x) to sketch the requested graphs in parts a and b. B)f(-x)

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Q: 16. Graph the function f(x)=- (2)*– 3

A: The given function is , fx=142x-3