A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Identify which form would be more helpful if you needed to do each task listed below? Please explain why this form is more helpful a. factor the equation b. graph the parabola c. identify the vertex, minimum, or maximum of the parabola.  d. solve the equation using the quadratic formula

Q: Which of the equations below could be the equation of this parabola? Vertex (0, 0) A. x-2y B. x=-2y2…

A: The given graph is a downward parabolapassing through origin. so, theequation of the graph will be…

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: 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: Use a graphical method to solve the quadratic equation: 10x² – 9x-3=6 Sketch the graph you used,…

A: Given,            10x2-9x-3=6

Q: Examine this parabola and determine the solutions.

A: given parabola :

Q: Find the equation of parabola given these three points using quadratic formula. (1,27) (18,45)…

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Q: The vertex of the parabola given by the equation x2 = 20 V is

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Q: The equation of the parabola which opens up, vertex (-3, 4), and the length of latus rectum is 8…

A: Given that 8)  parabola open up with vertex (-3,4) and length of latus rectum is 8 9)  the parabola…

Q: Use a graphing calculator to determine the quadratic equation for each set of three points that lie…

A: Here based on the general equation of the parabola we will calculate the quadric equation of…

Q: Here is a quadratic equation (in factored form): y = 3(x – 2)(x – 6) Please rewrite this equation in…

A: Given quadratic equation is y=3x-2x-6. To write the given equation in vertex form. Solution: Given…

Q: A parabola has x-intercepts of (2, 0) and (-8, 0). What is the equation for its axis of symmetry?…

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Q: Write an equation for the parabola with a vertex at the origin, passing through (V6,30), and opening…

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Q: A cable suspended between two posts that are of the same height and 20 meters apart has a sag of 1/2…

A: Given: A cable suspended between two posts that are of the same height and 20 meters apart has a…

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

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Q: Write an equation in intercept form of the parabola that passes through the point (3, 40) and has…

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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: 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: When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of…

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

A: Compare with standard equation of parabola and then solve it.

Q: What is the vertex of the parabola given by the equation (y+ 1)2 =-8x?

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Q: 1. Write the equation of the parabola in factored form.

A: Given that:

Q: You are working with a quadratic equation and construct the following graph. Identify the vertex of…

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Q: A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more…

A: Find your answer below

Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: 2. If you are given the standard form of the equation of a parabola with vertex at the origin,…

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Q: If the points in the table lie on a​ parabola, write the equation whose graph is the parabola.   x…

A: Given, The points in the table lies on the parabola: x y 1 1 3 -7 5 -67 Let, The…

Q: Determine the number that completes the square when writing the equation in the vertex form of a…

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Q: Write the equation of the parabola in standard form, whose vertex is (-3, -4) and the graph passes…

A: Given: vertex-3,-4 and passes through point1,4 we know that equation of parabola in standard form…

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: Write the equation of the parabola that has "a" value 2 and roots -1 and 4.

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Q: y = 3x² + 6x – 5

A: Topic - vertex form of parabola y=3(x+1)2 -8

Q: Which point on the parabola is one of the roots of the quadratic equation y = -x² – 3r + 4? %3D -2…

A: The roots of the quadratic equation are given by the points at which its graph cuts the x axis.

Q: Write the equation of the parabola that has "a" value 4 and vertex (3, 5).

A:

Q: A concrete bridge is designed as a parabolic arch. The mad over bridge is 60 meters long and the…

A: Given that, a concrete bridge is designed as a parabolic arch. The mad over bridge is 60 meters long…

Q: Write an equation in vertex form, if the vertex is (-2,4) and the parabola passes through the point…

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Q: Consider the quadratic equation y = x² - 4x. If we graph the equation, where are the x-intercepts…

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

A: Given that a parabola has a vertex at (h, k) and it is vertical axis of symmetry.

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

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Q: The zeros of a parabola are 6 and -5. If (-1,3) is a point on the graph which equation can be solved…

A: Given that the zeroes of the parabola are 6 and -5. and parabola passage through the point -1,3 We…

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: Write the equation of the parabola in standard form, whose vertex is vertex is (-3, -1) and the…

A: Given Write the equation of the parabola in standard form, whose vertex is vertex is (-3, -1) and…

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: If the points in the table lie on a parabola, write the equation whose graph is the parabola. X -6…

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Q: The vertex of the parabola given by the equation x2 = 20 y is (0,0) O (4,5) O (0,5) (4,0)

A: Kindly post other question as separate one.

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: 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,

Q: The flight path of a rocket, launched from the ground, is modeled by y = 0.25(40x-x²), where y is…

A: The problem is solved below