The parabola y = mx- (m+ 1)x + 2m-1 passes through the point A(2, 9). Find the value of m. %3D

Q: Find the equation of a parabola with vertex on the line y = 2X, axis parallel to the x- axis and…

A: The equation of parabola parallel to horizontal axis is  x=(y-k)2+h --------------------(1) The line…

Q: Write the equation of the function represented by the parabola in vertex form and in the form y =…

A: Given points vertex (-1,-6)(0,-4)

Q: Find the equation of the parabola, y = ax^2 + bx + c, that passes through the points (0,5), (2,-5),…

A: we have to find the equation of the parabola y=ax2+bx+c that passes through the points (0,5), (2,-5)…

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 intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

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 a parabola with equation y = ax2 + bx + c that has slope 11 at x = 1, slope -25 at x = -1, and…

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Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of (0, 231), which…

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Q: Find the vertex of the parabola. f(x) = 2x + 16x + 39 (х, у) %3

A: We have to find vertex

Q: The vertex of the parabola f(r) = a? + 8a + 2 is О (-4, -14) о (-8, -14) О (-12, —14) О (-4,-12) о…

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Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: Find the quadratic function y = ax + bx +c whose graph passes through the given points. (-2, - 4),…

A: put all 3 data points system Ax=b is

Q: Find the point on the parabola y* = 2x that is nearest the point (1, 4).

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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: Find the equation y=ax^2+bx+c of the parabola that passes through the points (-2, 0), (0, -14), (7,…

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Q: Ay 3-

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Q: Consider the graph of  y = ax2 + bx + c, where a = -3, b = 2 and c = 1.  Is the parabola concave up…

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Q: Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and…

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Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

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Q: Which is the equation of a parabola that has x-intercepts at (2,0) and (-6, 0)?

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Q: Find the quadratic function y = ax + bx + c whose graph passes through the given points. (-1, - 11).…

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

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Q: Find the x intercepts and the coordinates of the vertex for the parabola y = x^2 + 4x -21. If there…

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Q: Find the coordinates of the point on the parabola y = x² which is closest to the point (3, 0).

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Q: Find the point on the parabola y = (x – 3)² – 5 that is closest to the point (0,0). |

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Q: The diagram shows the graphs of y = 2x and y = x?. www Which statement is incorrect? I is the…

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Q: Determine the equation of the parabola graphed below. 4 3 1 -> 1 2 3 5 7 4.

A: Given: Parabola graph is given.   Vertax (h,k) : ( 4 , 1)     Point : ( 3 , 2)

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 the x intercepts of the parabola y=x^2-7

A: Given: y=x2-7                                              ..1 we know that at x-axis, y coordinate…

Q: Find the standard equation of any parabola that has vertex V.

A: V-2,0

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

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Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and…

A: The equations  of the parabola whose vertex is at the origin and its axis is about y axis are…

Q: Find the point on the parabola * +y“ that is closest to the point (0, -3). =

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Q: Find the point on the parabola (y = x2/2) that is closest to the point (-4,1)

A: Use distance formula to evaluate

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y=6-x² What is the…

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Q: Find the vertex, axis of symmetry and y-intercept of the associated parabola 2x2 44 f(x) Vertex Axis…

A: Formula:

Q: How do I solve this optimization problem?

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Q: Write the equation of the parabola that has the same shape as f(x) = - 9x but with vertex (2,7) in…

A: Given, y=g(x)= -9x² Therefore, a=-9

Q: Find the quadratic function y = ax+ bx + c whose graph passes through the given points. (1, - 4), (-…

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Q: Find the point(s) of intersection of the parabolas y =x2 andy = -x2+ 8x.

A: Definition used-      Point of intersection-           For finding the point of intersection of…

Q: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

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Q: Find the quadratic function y = ax + bx +c whose graph passes through the given points. (1, – 1), (–…

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Q: Find the point on the parabola y=x2 closest to (6,3

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Q: Find the equation of the parabola with the following data. F (-3, -2), V (-3, -5)

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Q: Find the point P on the parabola y = x2 closest to the point (57, 0). (х, у) %3D ]-«

A: Given the equation of parabolay=x2         ........(1)

Q: Find the quadratic function y = a x 2 + b x + cwhose graph passes through the following three…

A: Consider the given function y=ax2+bx+c

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: The vertex form of the parabola, y=a(x-h)2+k, where (h,k) is the vertex  Here, (h,k)=(7,4) The given…

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 x-intercept(s) and the coordinates of the vertex for the parabola y=x´-8x+12. If there is…

A:

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.