Graph the polynomila, and determine how many local maxima and minima it has. y = (x2 - 2)3

Q: find vertex of V 2x2 +8x+6

A: vertex form is  y=a(x−h)2+k Vertex is (h,k)

Q: If the vertex of the parabola y = -2x² + k + 3 has a y-coordinate of 11, determine all possible…

A: According to the given information it is required to find value of k where y=-2x2 +k+3 and given…

Q: Choose the end behavlor of the graph of each polynomlal functlon. Falls to the left and rises to the…

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Q: Graph the polynomila, and determine how many local maxima and minima it has. y = x3 + 12x

A: First, find x-intercepts of the polynomial y=x3+12x. To find the x-intercepts put y=0 in y=x3+12x.…

Q: A rectangle is inscribed in a parabola y^2 = 16x with the side of the rectangle along the latus…

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Q: Find the minimum value of 4x2-4x+11

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Q: Determine the axis of symmetry of the graph of the following parabola. f(x) = 2x² + 16x + 33

A: f(x)=2x2+16x+33

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: The parabola is y=6-x2

Q: Find the vertex of each quadratic and determine whether they have a max imum o minimum. y=x2-6x+3…

A: Given: Quadratic equations are  1) y=x2-6x+3 2) y=-x2+2 3) y=-2x2-8x-5   Vertex of the quadratic…

Q: A semicircle is on top of a rectangle (see figure). When the area is fixed and the perimeter is a…

A: We have given a diagram;

Q: Graph the polynomila, and determine how many local maxima and minima it has. y = (x - 2)5 + 32

A: Given:           y=(x−2)5+32

Q: Find the vertex of a quadrat. 1. f(x) = 3x2 + 18x + 32 %3D

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: Graph the polynomila, and determine how many local maxima and minima it has. y = 2x2 + 3x + 5

A: The given polynomial function is y=2x2+3x+5. Sketch the graph of the above function as shown below.…

Q: 18. A) Complete the square for y = 2x² − 12x – 14 B) Determine the coordinates of the vertex. Is it…

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Q: Graph the polynomila, and determine how many local maxima and minima it has. y = x4 - 5x2 + 4

A: The given polynomial function is y=x4-5x2+4. Sketch the graph of the above function as shown below.…

Q: Find the maximum and minimum points of y = x5 - 5x3 – 20x – 2 %3D |

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

A: Topic:-  parabola equation in vertex form

Q: the vertex of y=1/2x2 + 2x

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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: Find the vertex, the axis of symmetry, and the y -intercept of Ay -2 -4 -2 vertex: axis of symmetry:…

A: We have to find the following given condition

Q: the vertex of y= -x2+6x+1

A: standard equation of parabola y=a(x-h)2+k  vertex (h,k)

Q: Graph the polynomila, and determine how many local maxima and minima it has. y = x3 - x2 - x

A: Solution: Consider the given polynomial is: y = x3 - x2 - x or y = xx2 - x - 1 Graph: For critical…

Q: If the vertex of the parabolay=−2x2+k+ 3 has y-coordinate 11, determine the possible values for k.

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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: Find center, vertices, foci, asymptotes and sketch the graph of 9x2 – y² – 36x – 6y + 18 = 0

A: 9x2-y2-36x-6y+18=0 9x2-36x-y2-6y=-18 9x2-4x-y2+6y=-18 divide both sides by 9 x2-4x-19y2+6y=-2…

Q: find the vertex of the parabola. y=-3x2+10

A: Given equation : y=-3x2+10compare with y=ax2+bx+ca=-3b=0c=10

Q: Find the dimensions of a rectangle with an area of 36 square feet that has the minimum perimeter.…

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Q: Find the minimum value of  4x2- 4x+11

A: The given quadratic expression is 4x2-4x+11. The minimum value of a quadratic expression is the…

Q: what is the vertex of V(x) = 325x2 – 4600x + 145000

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Q: 3. Find the best parabola to fit the data points: (-1,1), (1, –1), (2,0), (3,0).

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Q: Help with this?

A: Take out -2 common from the x2  term and then complete the square

Q: Find the best parabola ax2 + bx + c that passes through the points(with minimial square error) (0,…

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Q: If the vertex of the parabola y = −2x^2 + k + 3 has a y-coordinate of 11, determine all possible…

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Q: Find the vertex of the parabola by applying the vertex formula. f (x)=4x² – 56x+ 84

A: Given: f(x)=4x2 - 56x + 84 The vertex of an up-down facing parabola of the form  y=ax2+bx+c is…

Q: Find b and c so that y = 8x² + bx + c has vertex (7,5). b C =

A: Here given that y=8x2+bx+c and has the vertex at the point (7,5) since the line of symmetry is the…

Q: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

Q: For a quadratic in standard form f (x) = ax² + bx + c with vertex (h, k), determine the indicated…

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Q: (b) Use the method of Langrange multipliers to find the dimensions of the rectangle of greatest area…

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Q: For a quadratic in standard formf (x) = ax² + bx + c with vertex (h, k), determine tl values. h = […

A: we have to find h and k

Q: If mZRMP=(4x+7)° and mZRPM=(9x-33)°, what is the measure of the vertex angle? Show your work to…

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Q: Graph the polynomila, and determine how many local maxima and minima it has. y = x8 - 3x4 + x

A: The Given polynomial is : y=x2-23 =x6-6x4+12x2-8

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: Consider the function:

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

A: Find out the minimum point of the function.

Q: Use Lagrange multiplier to find the dimensions and area of the largest rectangular lot that can be…

A: Let fx, y=xy denotes the area of the rectangle where x, y denotes the length and breadth of the…

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

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Q: A rectangle sitting on the x-axis has its upper two vertices on the parabola y 9. 12x2. Find the…

A: To calculate the largest possible area of the rectangle. If the rectangle is sitting on the x-axis…

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: Graph the polynomila, and determine how many local maxima and minima it has. y = 6x3 + 3x + 1

A: Given polynomial is y=6x3+3x+1

Q: Find the vertex and length of the latus rectum for the parabola. y = (x - 2)2 - 9 Vertex: (x, y) = (…

A: Topic = Parabola

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.