Let f (x) = 1x² +6x+8. Find the x-coordinate for the parabola's vertex. Round your answer to the nearest hundredth.

Q: Find the parabola with equation y=x^2+bx+c that has slope of 8 when x=9 and passes through the…

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Q: Find the quadratic function y = ax2 + bx + c whose graph passes through the points (1, 4), (2, 1),…

A: Given: The linear equation y=ax2+bx+c whose graph passes through the points (1, 4), (2, 1), and (3,…

Q: find the coordinates of the vertex for the parabola defined by the given quadratic function  f(x)=…

A: At the vertex x= -b/(2a)  We compare f(x)= -x^2-4x+10 with f(x)= ax^2+bx+c  a=-1 , b=-4 and c=10

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

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Q: Write the equation of the parabola that has the same shape as f(x) = - 7x but with vertex (- 6,4) in…

A: Topic- equation of parabola

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

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Q: Find the point on the parabola x= - 2t, y = - 2t, - o <t< oo, closest to the point (- 32, – 1).

A: Let the point (x, y)=(-2t, -2t2) on the parabola be the closest point to (-32, -1) So distance…

Q: Find the standard equation of the parabola with x intercepts at x = 2 and x -3, and a y-intercept at…

A: Solution is given below

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2(x +…

A: Given quadratic function f(x) = -2(x + 4)2 - 8     ...(1)

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function.…

A: Rewrite the given equation as follows.

Q: Sketch the parabola f (x) = 2x2 - 4x.

A: Given: f(x) = 2x2-4x To sketch: The given parabola.

Q: Determine the vertex of the parabola. f(x)=x2-20x+106

A: Consider the given equation.

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-…

A: Solving two equations

Q: 2. What is the value of y anytime a parabola intersects the x-axis?

A: It is known that the value of y on x-axis is always 0.

Q: Write the equation of the parabola that has the same shape as f(x) = 3x² but with vertex (7,6) in…

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Q: Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at…

A: SolutionA parabola has horizontal intercepts(roots) at x = 6.1 and x = 1.4and passes throught the…

Q: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

Q: Write the equation of the parabola that has the same shape as f(x) = - 6x but with vertex (- 5,3) in…

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Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -x2 -…

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Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2x2 +…

A: The given quadratic function f(x) = -2x2 + 8x - 1   Known fact: The standard form of the quadratic…

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

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Q: The parabola f(x) = −2x² − 4 can be graphed = −x² downward by 4 by shifting the graph of y = units.…

A: graph

Q: Graph the parabola: f(x)=0.5x^2-2. Show all work.

A: We have given a function,

Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

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Q: Consider a parabola that intersects the x-axis at points (-1, 0) and (3, 0).

A: We need to find an equation of parabola that intersects the x-axis at (-1, 0) and (3, 0). Thus,…

Q: Write the equation of the parabola that has the same shape as f(x) = 9x´ but with vertex (- 2,3) in…

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Q: Find the point on the parabola y = x³ that is closest to the point (1, 2) with two digits accuracy…

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Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

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Q: Find expresSsions for the quadratic functions whose graph are shown. YA y A (-2, 2), (0, 1) (4, 2)

A: The graph of the first function has a open parabola open upward with (3, 0) as vertex and (4, 2) is…

Q: If the vertex of the parabola f (x)= x² +bx+c is at (7, -4), find b and c. (Note: a = 1).

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Q: find the general equation of the parabola with horizontal axis which crosses the x-axis at x=2 and…

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Q: write in standard(vertex) form the equation for the parabola which has the following properties:…

A: Given, Parabola equation has zeros at x=1 and x=7. Maximum value = 12 The standard form of the…

Q: Determine the equation of the quadratic function using the following data points (0,12), (1,6) and…

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Q: Find expressions for the quadratic functions whose graphs are shown y. (-2, 2), (0, 1) (4, 2) 3…

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Q: 3) Find the vertex of the parabola f(x) = 4x² + 40x+104. Write in correct (x, y) form.

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Q: Find the axis of symmetry of the parabola defined by the given quadratic function. f(x)=6x2-12x+1

A: Find the axis of symmetry of the parabola defined by the given quadratic function.f(x)=6x2-12x+1

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2(x +…

A: Given: f(x)=-2x+12+5

Q: find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: The equation for a parabola is written in vertex form as, In vertex form the vertex is given as…

Q: Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

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Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function : f(x) =…

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Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f (x) = 3(x…

A: Given function is  fx=3x+52−4

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at…

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Q: What is the correct quadratic function for this parabola?

A: Note: General equation of parabola is y-k = 4a(x-h)^2 and x-h = 4a(y-k)^2  Vertex for both the form…

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-2y=4?

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Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 2(x -…

A: For y=a(x-h)2+k vertex (h,k)

Q: Find the x-intercept(s) and the coordinates of the yertex for the parabola y =x´ +4x+4. If there is…

A: The given parabola is: y=x2+4x+4 To find the x-intercept and the coordinate of the vertex for the…

Q: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

A: The solution is as shown below

Q: Find the vertex for the parabola y = 0.01x2 + 0.6x + 100. Then determine a reasonable viewing…

A: Given: y=0.01x2+0.6x+100  To determine: The vertex for the given parabola &amp; graph of the given…