Find the attributes of the parabola. Provide the equation for the quadratic function.

Q: Find the coordinates of the vertex of the following parabola using graphing technology. Write your…

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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: 10. (-2, 3), (2, -9), (5, -60)

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Q: Write an equation for the parabola graphed below.

A: Write equation of parabola

Q: Find an equation of the parabola whoes garph is shown.

A: Explanation: Given that,  graph of the parabola whose vertex is (0,0)

Q: Help the fix the parabola

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Q: Construct an equation for the following parabola.

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Q: Find the coordinates of the vertex of the following parabola using graphing technology. Write your…

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

A: A parabola that has the same shape as the graph of f(x) = 2x2, is f(x) = 2(x-h)2 + k with h units…

Q: Find the coordinates of the vertex of the following parabola usin technology. Write your answer as…

A: given parabola is                                                  y=4x2-48x+128 we have to find…

Q: Find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

A: we have to find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

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

A: In this question we have to write the equation of the parabola that has the same shape as f(x)=-6x2…

Q: Examine this parabola and determine the solutions.

A: given parabola :

Q: Determine the equation of the parabola graphed below.

A: The graph is as shown below :

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

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)= 2x…

A: Since the parabola has a maximum so it must have a negative leading coefficient.  So it will be of…

Q: Write an equation for the parabola shown to the right. (3, 1) (2, 0)

A: The equation of parabola in vertex form: y=a(x−h)2+k where: h is the horizontal coordinate of the…

Q: 12. (-2, 13), (1,-17), (7, 31)

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 4x…

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Q: -6 -5 2. 4

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Q: Write an equation of a parabola that has a vertex (3, 8), opens downward, and is congruent in shape…

A: All the parabola having same distance between focus and directrix is called to be congruent .Suppose…

Q: Graph the quadratic (parabola). Y=-x^2+x+6

A: We have to draw the graph

Q: Which equation can represent the parabola in the diagram? A y = -x2 Oy=x- 3 B y= x² O y= -x – 3

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Q: Graph the parabola and label the vertex, axis and intercepts of Y=(-1)/4 x^2+2x+4

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Q: Write the equation of a parabola that has a vertex at the point (5, -4).

A: Given, Vertex=(h,k)=(5,-4)

Q: Find the vertex of the parabola. y = x2 + 14x + 49 Please enter your answer as an ordered pair.

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Q: Write the standard form of the quadratic function whose graph is the parabola shown.

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

A: We know that the standard form of parabola  y = a(x-h)^2 + k

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 coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Given :-  Vertex (4, -7) and  x - intercept is -4 . To Find the standard equation of a parabola :-…

Q: Write an equation for the parabola shown to the right.

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Q: What is the equation of the parabola below? y (2.4) (3,1) -5

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Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = -x2 + 4x

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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: Write the equation of the parabola in standard form. + 8y + 4x + 36 = 0.

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Q: Write the standard form of an equation of a parabola with vertex (h, k) and horizontal axis of…

A: The standard form of the parabola, if the parabola is vertical:

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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Q: Find the x intercepts of the parabola y=3x^2+10x+8

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Q: Graph the parabola (y = 2x? - 3x - 5)

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

A: Solution:- we have to write an equation in standard form of the parabola that has the same shape as…

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

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Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = x2 + 5x…

A: The solution are next step

Q: Find the equation of the axis of symmetry of the following parabola algebraically. 3x2 + 6x - 12 y =…

A: The equation of the parabola y=3x2+6x-12. We have to find the equation of the axis of symmetry for…

Q: Graph the parabola, then label the vertex, axis, and intercepts. 1 Y = --x² + 2x + 4 %3|

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Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = 1/2 x2 + x + 4

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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: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and (-10,…

A: Here it is given that vertex of the parabola is (0,0) and y-axis as its axis,

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.