Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 10x + 45 Vertex Form: y = Vertex:

Q: Find the vertex for the parabola y = -4x2 + 20x + 160. Then determine a reasonable viewing rectangle…

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Q: Complete the square and determine the vertex for y = 3x2 + 9x + 5

A: Given: y=3x2+9x+5 For finding vertex of given expression by completing square method, first we…

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x+12x+4 Vertex Form:…

A: Given quadratic equation in vertex form and find coordinate of this vertex. y = x2 + 12x + 4

Q: Complete the square to re-write the quadratic function in vertex form: y = x² + 8x – 4 Answer: y =…

A: Given quadratic equation is : y=x2+8x-4 Required to re-write quadratic function in vertex form.

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 10x + 9 Vertex…

A: Given: y=x2-10x+9

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = x2 + 6x + 2

A: Max or min value of the quadratic function lies at the vertex of the parabola. It is the point where…

Q: Complete the square and determine the vertex for y = y = -2x2 + 8x - 9

A: Given: y=-2x2+8x-9 For finding vertex of given expression by using completing square method, we…

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x? – 2x – 15 |…

A: Given: y=x2-2x-15 The vertex form of the quadratic function y=ax2+bx+c is y=ax-h2+k where h,k…

Q: Complete the square to express y= 3x – 10x – 5 in the form y=a(x-h)² +k. Then give the coordinates…

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Q: Complete the square to write each in vertex form. Then identify the vertex. 1. a. f(x) = x² - 8x +…

A: Please see the below picture for detailed solution.

Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given…

A: vertex = (-7,4)   explanation is given in below step

Q: Complete the square to re-write the quadratic function in vertex form: y = x + 4x + 4

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Q: y = 2x2-12x + 18 2. y= 2x2 + 5x -3 1.

A: We willl be completing the square 1. y = 2x2 - 12 x + 18 y - 18  = 2 ( x2 - 6 x)y - 18 + 18   = 2 (…

Q: A hotel entrance makes a parabolic arch that can be represented by the quadratic function, y=-x^ 2…

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Q: Determine the vertex of the following quadratic y = -5x² – 10x – 7

A: The given Quadratic represent a parabola. Its vertex is the point where line of symmetry intersect…

Q: y = 3x² + 9x + 2

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Q: For the quadratic function y = 2x2 − 20x + 52, what are the coordinates of the vertex?

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Q: Find the vertex, y-intercept, and x intercepts of the quadratic, and then graph it.    y = -x2-4x-3

A: Find the vertex of the quadratic.

Q: Use the zeros and the labeled point to write the quadratic function represented by the graph. (1, 4)…

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Q: Use the discriminant to determine the number and types of solutions of the quadratic equation. x2 -…

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Q: Find the vertex, y-intercept, and x-intercepts of the quadratic function, and then graph it.   y =…

A: The given function is y=x2-4x-1.

Q: Complete the square to re-write the quadratic function in vertex form: y = x² + 7x + 6

A: The vertex form of quadratic equation is y = a(x - h)2 + k. The third term in the complete square is…

Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given…

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Q: Complete the square and find the minimum or maximum value of the quadratic function. y = −9x2 + x

A: A parabola with equation of the form y=a(x-h)2+k has vertex at (h,k) and opens up or down. If it…

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = 3x2 + 12x −…

A: Consider the given quadratic equation. y=3x2+12x-5 Find the derivative of equation. y'=6x+12 Find…

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 14x + 47 2…

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Q: Find the zeros of the following quadratic equation by factoring. f(x) = 9x2‒ 36x + 36 Then sketch…

A: To find the zeroes of the quadratic equation by factoring  f(x)=9x²-36x+36

Q: Complete the square and determine the vertex for following. y = -5x2 - 8x + 3

A: The vertex form of the equation can be represented as f(x)=a(x-h)2+k, where h and k  are the…

Q: Complete the square and determine the vertex for following. y = 3x2 + 9x + 5

A: Given: y = 3x2 + 9x + 5

Q: Use the discriminant to datermine the number and types of solutions of the quadratic equat -2x= - 3x…

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Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x+ 10x- 23 Vertex…

A: We have given  y=x2+10x-23y=x2+2×5x+52-52-23y=(x+5)2-25-23y=(x+5)2-48y+48=(x+5)2

Q: 4. By completing the square, write y = -3x2 – 18x – 19 in the form, y=a(x-h)² + k. Determine the…

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Q: 4x - y² + 32x+6y+39 = 0

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Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given…

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Q: Complete the square to put y=x^2-6x+13

A: GIven y=x2-6x+13To complete the square given above.

Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given…

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Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given…

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Q: Find a pure quadratic form to write each equation below in standard form, and name the object.…

A: We have to write the given equation in standard quadratic form.     According to our guidelines we…

Q: Use the method of Completing the Square to turn these quadratic equations in standard form into…

A: topic - conversion of quadratic equation in standard form to vertex form

Q: Put the quadratic into vertex form and state the coordinates of the vertex. .2 Y = x´ + 2x +37…

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Q: Complete the square of the following equation that is in STANDARD form to find the VERTEX form of…

A: Standard form :y=x2+4x+7

Q: Complete the square to re-write the quadratic function in vertex form: y = x2 - 5x + 9

A: To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the…

Q: Complete the square to re-write the quadratic function in vertex form: y = x² – x – 1

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Q: f(x) = 2(x-8)2 + 3

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Q: Complete the square to re-write the quadratic function in vertex form: y = x² + 2x + 3

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Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has…

A: Write the given equation into more simplified form and find the coefficients a, b, and c. Then check…

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x? – 20x + 50 -…

A: Given quadratic function is                                                        y=x2-20x+50…

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x? – 4x + 22 Vertex…

A: Given: The quadratic equation y = x2 -4x +22 To put: The given quadratic into vertex form and to…

Q: Consider the Quadratic Function y + 6x – 8 - a. Coordinates of the vertex: b. Coordinates of the…

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Q: Complete the square and find the indefir x2 V 2x - X

A: we have to evaluate: ∫x22x-x2dx

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.