A parabola has zeros at -6 and 10. Its vertex is located at (2, 16). Determine the equation of the quadratic in factored form.

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

A: Given:y=4x2+17x+15for finding the x-intercept of the equation. we need to put y=0so, 4x2+17x+15=0we…

Q: What are the coordinates for the vertex of the parabola y = 3x2 - 6x- 1? O (1,-4) O (1,4) 0(-1,4)…

A: answer is option A.)   explanation is given in below step

Q: What is the equation in vertex form of a parabola with a vertex of (-3, 4) that passes through the…

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Q: Find the vertex of the parabola defined by the following equation: (y – 2)² = –4x – 8 - -

A: Given : y - 22 = -4x - 8

Q: Write an equation for the parabola with axis horizonal, vertex on the y-axis, and containing the…

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Q: 8. Draw the parabola with the equation: 4x² + 6x – 3y = 4.

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Q: Find the equation of the parabola that has a horizontal axis of symmetry, passing through the points…

A: Given the points are, 0,3,(-2,1) and (6,-3)

Q: Ay 3-

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Q: Find the vertex of the parabola. y = 3x² - 1 О (0, (0, –1) O (-1, 3) O (-1, 0) (3, –1) (0, 3)

A: topic - parabola

Q: Find the equation of the parabola given 3 points using quadratic formula. (-3,38) (25,51) (-1,65)

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Q: Find the vertex of the given parabola. Give all values correct to 3 decimal places. y = 7x2 - 8x +…

A: A detailed solution is given below

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

A: Vertex of the parabola is h, k=0, 5 & it passes through the point 2, -3. Now the equation of the…

Q: Can you do a parabola with the starting point being (0,0)

A: Given a parabola with equation y=x2

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

A: Given   Vertex of a parabola (x,y)=(-5,6)           Y- intercept c=231

Q: The general form of an parabola is 2x2 – 12x – 3y + 12 = 0. - What is the standard form of the…

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Q: Find the equation of a parabola that has a vertex of (-5, 8) and contains the point (-3, 12).

A: The equation of the parabola y=a(x-h)2+kwhere (h.k) is vertex .

Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

A: Since the parabola is symmetric to the y-axis and has vertex at the origin, The equation of the…

Q: The vertical line passing through the vertex of a parabola iscalled the_________

A: Solution:GivenThe vertical line passing through the vertex of a parabola is called the ...........

Q: Find an equation of the parabola with vertex (2, 2) and directrix x = 8. 00 0=0 X Ś ?

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Q: The axis of the parabola given by the quadratic equation 2x + 12x +7= 0 is: O r= 36.00 O r = 3.00…

A: For given parabola, its type of (x+a)2=4by but here y is not in an equation so that is zero. So…

Q: Find the standard form of a parabola with the following properties: Center at the origin…

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Q: Determine the standard equation of parabola X²-6x+5y=-34

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Q: 2. The murderer's height, in inches, is equal to the y-intercept of a parabola with roots of -2 and…

A: The roots of the parabola are -2 and -32. The murderer's height is equal to the y-intercept of a…

Q: A parabola has its turning point at x = -4 and one of the x-intercepts is x = -3. What is the x…

A: Given Data: The x coordinates of the turning point of the parabola is: x=-4 One of the x-intercepts…

Q: Determine the equation of the parabola vertex at (-4,-8) directrix is x=0.

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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: 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: Find an equation of the parabola that has a vertex at (–2,3) and whose graph passes through the…

A: Equation of parabola:y=ax-h2+kWhere h,k are the coordinates of the vertexh,k=-2,3point x,y=2,19

Q: Find the vertex of the parabola f (x) = -2x2 - 24x - 69.

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Q: Determine the equation of the parabola given:

A: Graph of the hyperbola is given, we have to find its equation

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: the length of the latus rectum of the parabola 4y=x^2-6x+21 is

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Q: Find the vertex of the parabola by applying the vertex formula. f (x)=4x² – 56x+ 84

A: Given: f(x)=4x2 - 56x + 84 The vertex of an up-down facing parabola of the form  y=ax2+bx+c is…

Q: . Find the equation of the parabola with x-intercepts -7 and 3, and that 2, -11). Express your…

A: Given parabola has two x-intercepts, (-7, 0) and (3, 0). Clearly its either upward or downward…

Q: intercepts

A: The x-intercepts are 5 & -3, i.e. the points are P(-3,0) & Q(5,0)  So, the maximum value…

Q: Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated…

A: Find your answer below

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

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Q: Find an equation for the parabola shown in the figure.

A: Given: The focus F-2,1 and directrix x=3 of the parabola, To find: The equation of the parabola.

Q: · Write an equation for the parabola with vertex at (4, –1), opening upward, and with a vertical…

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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 standard form of the equation of the parabola with vertex (3, −4) andfocus (6, −4).

A: Given that, the vertex of a parabola is (3, −4), and its focus is (6, −4). Since the focus (3, −4)…

Q: Consider the parabola given by the equation: f(x) = - 4x – 12x - 7 |

A: Given: fx=-4x2-12x-7

Q: What is the length of the latus rectum of the parabola: y2 – 4y – 8x – 28 = 0?

A: Given, y2 – 4y – 8x – 28 = 0 General equation of parabola with center (h,k) (y-k)2=4a(x-h)    ---(i)

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

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Q: A rectangle sitting on the x-axis has its upper two vertices on the parabola y 9. 12x2. Find the…

A: To calculate the largest possible area of the rectangle. If the rectangle is sitting on the x-axis…

Q: Find the standard form of the equation of the parabola that has a vertex at (1,-3) and passes…

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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: 4 3 1 -3 -2 -1 0 1 2 3 4 -1

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Q: Give the equation of a parabola with vertex at the origin

A: Given that vertex at the origin to the parabolaTo find equation…

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.