Analyze the graph of the function f (x) = 3|x + 9| + 12 compared to the graph of the absolute value function g (x) = |æ| . To obtain the graph of ƒ (x) = 3|x + 9| + 12, the graph of g (x) = |x| has been • Shifted by Number units Click for List • Shifted Click for List by Number units Vertically stretched by a factor of Number Which of the following best represents the graph of this function, considering the location (quadrant) of the vertex and the direction that the graph opens?

Q: Determine where the graph of f is below the graph of g by solving the inequality f(x) ≤ g(x) . Graph…

A: Given, fx=x4-4gx=3x2   Solving the inequality:…

Q: Determine where the graph of f is below the graph of g by solving the inequality f(x) ≤ g(x) . Graph…

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Q: Determine the open intervals on which the graph of the function is concave upward or concave…

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Q: Analyze the graph of the function f(x)=4|x+9|+12 compared to the graph of the absolute value…

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Q: Suppose that f(x) = x2 + 4x - 21.(a) What is the vertex of f?(b) What are the x-intercepts of the…

A: a. The vertex parabola lies at x=-b2a for the f(x) =ax2+bx+c vertex is at x…

Q: Identify the absolute minimum of h(x) =-4x² – 1 over [-4, 3]. Provide your answer below:

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Q: Describe the concavity of the graph of f(x)=(x-2)5/3 And find the inflection points(if any)

A: See the attachment

Q: Determine the open intervals on which the graph is concave upward or concave downward. f(x)=25/x^2+3

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Q: Sketch the graph of g(x)=x2+x-6/the absolute value of x-2.

A: First we factor x^2+x-6 .

Q: Given the function f(x) = 3x² – 12x –17: Write the function in vertex form. Find the ordered pair…

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Q: Draw the graph of f(x)=3x+5  Give the domain of f(x)=3x+5    Give the range of f(x)=3x+5

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Q: Find the minimum value for p(x) = -x2 – 24x on the interval [-6,-1]. JUSTIFY YOUR ANSWER.

A: px=-x2-24x Differentiating with respect to x, we get p'x=-2x-241=-2x-24 Now to find critical values,…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Given function is gx=12x2-x3 To find the open intervals on which given function is concave upward or…

Q: If an absolute value function y = alx - h| + k opens up, which is true?

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Q: True or False The graph of f(x) = 2x2 + 3x - 4 opens up.

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Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

A: Given : f(x) = x⁴ - 4x²    -----(i) We have to find point of inflection and the concavity of the…

Q: 8. True or False The graph of f(x) = 2x² + 3x – 4 opens up.

A: The quadratic function, fx=ax2+bx+c If a < 0 then the graph of f(x) is open down and if a > 0…

Q: The functions f(x) =×^2 - 2 and g(x) = -x^2 + 5 are shown on the graph Explain how to modify the…

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Q: Distinguish whether the f(x) = -3x2 + 2x – 2 has a minimum or maximum and graph the function.…

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Q: 8. The Wisely Company earns a weekly profit according to the function f (x)=-1.2x² +180x-280, where…

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Q: True or False The graph of f(x)=2x2+3x-4 opens up.

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Q: y 6 3 1 -6 -5-4 -3 2 -1 12 3 4 5 -1 6 -2 -3 -4 -5 -6

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Q: Suppose that f(x) = x2 + 2x - 8.(a) What is the vertex of f?(b) What are the x-intercepts of the…

A: (a) Given function is: fx=x2+2x-8 Let y = f(x) Then we get,…

Q: Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system…

A: The solution can be seen in the below steps.

Q: 5. Where is the vertex of this absolute value function located? y = \x + 1| + 3 -6

A: The given function is: y=|x+1|+3 The general form of the absolute value function is given by:…

Q: Give the domain and range of the quadratic function whose graph is described. Minimum= - 5 at x= 5…

A: W have to find the domain and range of the quadratic function which have a minimum of -5 at x = 5.

Q: ) Use the graph of the function to solve the inequality. a. f(x) > 0 1 05 2 45 b. g(x) < 0 -2 /1 2…

A: Given:

Q: f(X)こ 34ーオー2

A: The given function is fx=3x-x-2To find the point when x=2

Q: Find the function P(x) of a company selling x items is given byP(x)=x3+9x2-15x+13 where x represents…

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Q: The profit that the vendor makes per day by selling x pretzels is given by the function P(x)=…

A: To find the number of pretzels means x for which profit is maximum

Q: 3. At what value of x does the graph of y = A-3AX have a point of inflection? Please use a A+3AX…

A: Given y=6-36x6+36x

Q: Describe the concavity of graph the of f(x)=(x-2)5/3 and find the points of inflection (if any).

A: Given query is to find the concavity and inflection points.

Q: How do I graph f(x)=a(x-h)^2+k (a does not equal 0) on the conditions a&lt; 0, h=2 and the max value…

A: Given

Q: A company uses the function C(x) = 0.02x^2 -3.4x+150 to model the unit cost in dollars for producing…

A: Simply take the derivative of the given model function and equate to zero for the minimum cost.

Q: If f(x) = ax3 + bx2, determine a and b so that the graph of f will have a point of inflection at…

A: Given f(x) = ax3 + bx2

Q: Use the graph of to f(x) to the right solve the inequality f(x) > 0

A: From the given graph we have to find the value of x so that the value of the graph is greater or…

Q: Analyze the graph of the function f(x)=2|x+5|+6 compared to the graph of the absolute value function…

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Q: ) Your friend has been absent from school and wants to know what she missed. How would you explain…

A: Question- 7) Your friend has been absent from school and wants to know what she missed. How would…

Q: g(x) = 2|x – 2|

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Q: Analyze the graph of the function f(x)=2|x+7|+10 compared to the graph of the absolute value…

A: Given,            fx=2x+7+10 , gx=x To find: Obtain the graph of gx=x from fx=2x+7+10 .

Q: What is the absolute maximum value of the function f(x) = x - 3x2 on the interval [-2, 4] ? а. 16 O…

A: This question is based on application of derivative.

Q: Which statement is true for the graph of f(x) = 2x - 6x2 – 48x + 24? - (4, –140) is a relative…

A: Topic:- application of derivatives

Q: Analyze the graph of the function ƒ (x) = 3 |x + 5|+7 compared to the graph of the absolute value…

A: The function f(x+a) is the horizontal shift of the function f(x) by a units leftwards. The function…

Q: 우6)-- (x*+ 2ya + x- 1 ) fx)= +2x²- %3D

A: The given function is f(x)=-13(x3+2x2+x-1). Differentiate the function with respect to x and equate…

Q: Consider the function f(x)=2sinx+3. Which graph represents the solution set of f(x)

A: Given: fx=2sinx+3 To find: Solution set of fx.

Q: 6. Select the correct graph below of the function: (x) = x*(x + 2)(x – 2). List the x-intercepts.…

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Q: Find the function P(x) of a company selling x items is given by P(x)=x3+9x2-15x-13 where x…

A: Given problem is : Find the function P(x) of a company selling x items is given by…

Q: The total revenue function for a certain product is given by Requals 530 x ​dollars, and the total…

A: Given Re=$530xCx=25,000+50x+x2 dollars