Given the function, f (x) -2x² +6x- 4, answer the followi a) Find the vertex (enter it as an ordered pair): b) Is the vertex a maximum or a minimum?

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

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Q: Set B a y=x b. ya x+3 C. y x-3

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Q: Determine the concavity of the graphs of y^2=x and y=x^3

A: We have to determine the convexity of the graphs of y2 = x and y = x3 in between the points of their…

Q: The function f (x) = – 2x3 + 33x? 168x + 9 has - one local minimum and one local maximum.

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Q: Complete the following questions and submit them to the dropbox. 1. Find the minimum value of the…

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Q: Write f(x) = x² + 4x – 3 as f(x) = a(x – h)² + k. What are the coordinates of the vertex? What is…

A: Given, f(x)=x2+4x-3 On simplifying further we get:…

Q: . Graph f(x) = 2x2 - 4x + 1 by determining whether itsgraph opens up or down and by finding its…

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Q: what would the interpret for the solution for the graphed systerm?

A: The point at which the lines intersect is the intersection point.

Q: If P(z) = 6 + z – 10z² represents the profit in selling z thousand Boombotix speakers, how many…

A: Given profit function is Px=6+x-10x2. Compute the derivative.…

Q: Given the equation  5x2 = 6x + 18 determine: The minimum value of y

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Q: Give the domain and the range of the quadratic function whose graph is described as : Minimum = 18…

A: We have to find domain and range of the quadratic function whose graph has minimum 18 at x=-6

Q: For g(x)=1/4x2 -2x+6, Is the vertex is a minimum value or maximum value?

A: If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value…

Q: Set C a. y x b. y= x+4 C. yx

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: The graphs of f(x) = −4x2 − 10x + 7 and g(x) = 12x2 + 30x + 1 have the same axis of…

A: The graphs of f(x) = −4x2 − 10x + 7 and g(x) = 12x2 + 30x + 1 have the same axis of…

Q: Find the maximum value of f(x) = -3x² + 6x - 5 without a calculator. Hint: Use the vertex formula!

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Q: What is the vertex of g (x) = 2x? %3D

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Q: The graph of the quadratic function f(x) = −2x² - 4x + 6 is shown. + -2 8 6 4 2 -2 -4 -6 -8 DA → 2 4…

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Q: Find the minimum and maximum values of y=x-9 x + 8 on the interval [-3, 1]

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Q: 2 y = x + 10x + 24

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Q: Find the maximum point, minimum point, and inflection point 1. y = x³ - 3x? + 8

A: Given query is to find maximum, minimum and inflection point.

Q: Sketch the set of points such that r2 12. Choose the correct graph below.

A: follow next step

Q: 8) Given f(x) = -5x² – 7x + 2, without graphing, determine whether it has a maximum value or minimum…

A: Given function is fx=-5x2-7x+2 To find: Critical point, Maximum and minimum points

Q: Use the crossing- graphs method to solve the equation below. 3^x + x = 2^x +3

A: We graph y= 3x+x and y=2x+3 using a graphing calculator.

Q: Is the graph of r(x)=4x3−2x2+9x−2 concave up or down at the point with x-coordinate −1?

A: Given          r(x) = 4 x³ - 2x² + 9x - 2 For checking concave up or down we have to differentiate…

Q: What is the vertex of g (x) = (x + 3)+3?

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Q: Find the absolute minimum value of the fx)=4-x2, -35XS1 -2 o -3 . 1.

A: As the coefficient of x2 is negative so the minimum value of function exists at either end of the…

Q: show that the x-intercept of the graph of Ax+By=C is (c/a,0)

A: Given equation,

Q: A retail store has determined that the daily profit for the store is related to the number of…

A: for maximize profit put p'(x)=0.

Q: Sketch graphs of these three quadratic relations on the same set of axes. a) y = (x – 9)² c) y = (x…

A: Given quadratic relations are a)  y = (x - 9)2 b)  y = (x + 2)2 c)  y = (x - 5)2

Q: Determine whether h(x) = -6x² + 7x + 3 has a minimum value or a maximum value, and then find the…

A: Consider the equation  h(x)=−6x2+7x+3

Q: What is the maximum value of f(x) = x³ + 3x2 -2 ? %3D Answer:

A: Solution: f(x)=x3+3x2-2 find the maximum f(x)

Q: 3) Determine the coordinates of the vertex for the function f (x) = -2x? + 12x +7 using any method.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The average cost per hour is dollars of producing x riding mowers is given be the following: C(x) =…

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Q: The functions f(x) = −(x + 4)2 + 2 and g(x) = (x − 2)2 − 2 have been rewritten using the…

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Q: 9. If you were to graph f (x) = 2x2 + 4x – 6 , what would the coordinates of the vertex be? What…

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Q: If (2, b) is a point on the graph of y = x2 + 3x, what is b?

A: We have to find the value of b if point 2, b is lying on the graph of y=x2+3x. We know that if any…

Q: Draw the graph of y = 3x2 + 6x − 24 and label its minimum

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Q: The absolute minimum of f(x) = 20x² – x+1 is Select one: -79 a. C-00 d.

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Q: Let f(x)=2(x-2)(x+4). What are the coordinates of the vertex?

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Q: Determine the range to the function f(x.y)=xtX.if the domain is given by the inequality 2x²+y²s4

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Q: Is the graph of r(x) = -8x3 – 7x² + 2x +3 concave up or down at the point with r-coordinate –2?…

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Q: Consider the equation below. f(x) = 2x3 + 3x2 − 252x   Find the local minimum and maximum values of…

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Q: d) What is the maximum height of the boarder?

A: Given, The gap is 2.2 m wide. And path modelled as h = -1.25d2 + 3.75d

Q: Describe and graph the regions in the first quadrant of the x1x2-plane determined by the given…

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Q: State whether the vertex of the function is a maximum or minimum and give the corresponding…

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Q: Determine whether the graph of q(x)=−6x3−7x2+8x+2 is concave up or down at the point with an…

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Q: For any real x, what is the maximum value of the expression y = 2(k-x)(x+√x²+k²)?

A: This question can be solved using the concept of maximum and minimum.

Q: Give the function y = x2 + 8x – 9, state - whether the vertex represents a maximum or a minimum…

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Q: The graphs of y = x² – 5x – 4 and y = 8+3x – x² intersects at points in what quadrants?

A: From the given two equations substitute the value of y from the equation y=x2-5x-4 in the equation…