Given g(x) = (2x-6)(x+9), determine the vertex. Be sure to include both the vertical and horizontal values, i.e. (x1,y1).

Q: For Exercise, estimate the x- and y-intercepts from the graph. 3-2 –1

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Q: f(x)=3x2+18x-2 What is the value? and does it have a minimum or maximum value?

A: The given function is: f(x)=3x2+18x-2

Q: For the quadratic function f(x) = 13-x, find (a) the vertex, (b) the line of symmetry, and (c) the…

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Q: 5x+5 2. f(x) %3D x²+4x+4

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Q: b) For the quadratic functionf (x) =-(x +4)2 -6, find the following: Vertex Range Maximum / Minimum…

A: Given f(x)=-13(x+4)2-6

Q: Find the points of intersection of the graphs of 2x 3y = -2 and 4.x – y = 6. %3D

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Q: True or False The y-coordinate of the vertex off1x2 = - x2 + 4x + 5 is f122.

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Q: Given the function y=-x2+2x+3. a) Give the axis of symmetry. b) Give the coordinates of the…

A: Answer and explanation is given below

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: 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: What is the x intercept or 0's of -x^2+4x+3?

A: Given equation : - x2 + 4x + 3 Zeroes of given equation. - x2 + 4x + 3 = 0 Multiply by (-1)  x2  -…

Q: 6) Discuss the concavity of the graph of ƒ (x) = x* – 2æ³ + 1 and find its points of inflection.

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Q: vertex form for y=x^2+4x+6

A: Topic:-  parabola equation in vertex form

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: Approximate the solution(s) to x3-2x+2=0 using a graphing utility

A: x3-2x+2=0

Q: Suppose that the x-intercepts of the graph of y=f(x) are 2 and 6. What are the x-intercepts of…

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Q: Given that f is a quadratic function with minimum f(x) = f(2) = 5, find the axis, vertex, range and…

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Q: 3) Find the minimum and maximum values y = 2x5 +5x² on the interval [-2,2]

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Q: The path of a diver is modeled byf(x) = (−4/9)x2 + (24/9) x + 12where f(x) is the height (in feet)…

A: Givenf(x) = -49x2+249x+12here, a = -49 , b = 249this is downward opening parabola.

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

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Q: Consider the following quadratic function f(x) -7x2 + 12x - 11 Find the vertex - | (x, y) Determine…

A: To locate the vertex and decide whether it corresponds to a maximum or minimum

Q: If the revenue function is           R=500x-2x2  a)  Find the vertex .  b) What is the maximum…

A: Given revenue function is                                                              R=500x-2x2…

Q: True or false: The y-coordinate of the vertex of f(x) = 4x² – 16r + 300 is f(2). . %3D

A: Given quadratic expression is: fx=4x2-16x+300 Let y = f(x) We have to find the vertex of f(x).

Q: For Exercise, estimate the x- and y-intercepts from the graph. -3 – –1

A: Where the graph cuts/touch the x-axis those are the x-intercepts From the graph, we see…

Q: y = 4 + x2" Find the vertices of the rectangle with maximum area. Vertices =

A: A rectangle has one side on the axis and other  two verices on the curvey=81+x2

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

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Q: The graph of y = -9|x+3|-5 can be obtained from the graph of y= |x| by shifting horizontally…

A: Given

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: What is the vertex for this equation? f (x) = – (x + 3)² + 1 %3D

A: The given equation f(x)=-(x+3)2+1

Q: What is the vertex for this equation? f (x) = (x+3)² + 1

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Q: Graph f (z) = -g³ + 6z* – 3r³ – 10z². You need to label all intercepts exactly, no approxi- %3D…

A: To plot the given function we need to find the value of x for which turning point occurs and also…

Q: f (x) = x² . – 6x + 5 - Show the coordinates of at least FIVE points (including the vertex and all…

A: fx=x2-6x+5 It can be written as, ⇒fx=x2-6x+9-4⇒fx=x-32-4 Now comparing with fx=x-h2+k, we get h=3…

Q: Approximate the solution(s) to x3 = x2 - 5 using a graphing utility.

A: We have to approximate the solution(s) to x3=x2-5 using the graphing utility .

Q: Discuss the maximum and minimum of x?+y'+6x+12.

A: Given: x2+y2+6x+12

Q: f(x)=-x2-6x-7 What is the vertex? What is the domain and range?

A: Convert the given function into the form: f(x)-a=c(x-b)2

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

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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: The graph of y = x3 + ax2 + bx + 7 has an inflection point at (2,-10). Find the value of a and b.

A: Given that the graph of y=x3+ax2+bx+7 has an inflection point at (2,-10).we have to find the values…

Q: b. y=X'+3x²+x²-7 x° -3x° +8

A: The given function is: To Determine the horizontal asymptote.

Q: Find the maximum and minimum points for y = x^5 -5x^3 -20x – 2

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Q: Given f(x) = 5x - 30x + 49

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Q: Approximate the solution(s) to x3 - 2x + 2 = 0 using a graphing utility.

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Q: For the following equation, find the vertex and determine if it is a maximum or minimum point, find…

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Q: In the xy plane, the graph of the function f(x) = x2 + 5x + 4 has two x-intercepts. What is the…

A: x- intercepts are the points where the function touches the x-axis. So if the function touches the…

Q: The Minimum point of y = 3x+6

A: Find out the minimum point of the function.

Q: Determine the point/s of discontinuity, if there is any, and the type of discontinuity at that…

A: h(x)=x-2x2+2x-8The function will be discontinuous at point where denominator is zeroconsider…

Q: The number of photo copies distributed is given by C = 50t² - 200t + 10000, where t is in years.…

A: Here, C=50t2-200t+10,000

Q: I need to find the y intercept of g(x) = x² - 9x + 20

A: We have to find y intercept