Find the equation of parabola given these three points using quadratic formula. (1,27) (18,45) (2,68

Q: The general form of an parabola is 2x-12z-3y+12 0. What is the standard form of the parabola? Enter…

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Q: What is the turning point of the parabola whose equation is y = 2x2 + 4x- 3? А (1,3) С 2, 13) 8…

A: The turning point is the vertex.  The formula is   -b2a given equation y=2x2+4x-3compare the…

Q: The vertex of a parabola is (-5, 2), and its focus is (-1,2). What is the standard form of the…

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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: Find the equation of the parabola given 3 points using quadratic formula. (33,-9) (49,23) (68,3)

A: We have to find the equation of the parabola given 3 points using the quadratic formula. The three…

Q: The vertex of the parabola y = 5x? – 40x + 83

A: Given,         y=5x2-40x+83We know that,        The vertex of the parabola y=ax2+bx+c is given by…

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: Which of the following is the vertex of the parabola represented by the equation y+5= 6(x - 6)??…

A: the vertex form of a quadratic equation is y=a(x−h)2+k. parabola's vertex: (h,k).

Q: Find an equation of the sphere that passes through the origin and whose center is (9,8,-9). = 0 Note…

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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)

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

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

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Q: Draw the parabola with the equation: 4x^2 + 6x − 3y = 4.

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Q: Find the equation y=ax2+bx+c of the parabola that passes through the points (-2,0), (0,-14), (7,0)

A: The equation is:-

Q: 2. For the parabola equation: (y-2) = -3(x+4)^2 + 7, what is the location of the vertex? *

A: Equation of parabola is given as : (y - 2) = -3(x + 4)2 + 7  . . .(1) Vertex form of a parabola is…

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…

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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: What is the equation of a parabola with the vertex (3, 7) and the focus (5,7)? = (y – 7)² + 3 B (y-…

A: Vertex of the parabola is 3, 7 and the focus is 5, 7. Now vertex is, h, k=3, 7⇒h=3  &  k=7 Focus…

Q: The __________ of a parabola is the point of intersection of the parabola and the axis of symmetry.

A: Consider the below image,

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: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: We have to find the vertex

Q: Using the graph, determine the coordinates of the roots of the parabola. 10 6. 8- 7. 9. 4. 2 -8 -7…

A: We have to determine the coordinates of the roots of the parabola using the graph.

Q: What is the turning point of the parabola whose equation is y= 2x2 + 4x - 3? A) (-1,-5) B) (-2,-3)…

A: y = 2x2+4x-3If the quadratic is written in the formy = a(x-h)2+k , then the vertexis the point…

Q: What is the vertex of the parabola represented by y = -2(x – 6)² + 5? O (5, 6) O (-6, 5) (6, 5) O…

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Q: Write an equation for the parabola that passes through (4, 3) and has x-intercepts of -1 and 5. An…

A: To find the equation of the parabola

Q: Is and directrix of the parabola: (y-7)²-6(x+9)

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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: Which is the domain and range of the parabola with the equation y = 0.5(x² - 8x - 6)? OD: (-∞0,00);…

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

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Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

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

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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: Determine the standard equation of Hyperbola Show your solutions 4x²-9y²-8x-90y-257=0

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Q: What is the location of the vertex of a parabola given the equation y2+6y-9x-12-D0? O (3,-7/3) O…

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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 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 an equation for the parabola that has a vertical axis and passes through the given points.P(2,…

A: Parabola that has a vertical axis passes through the points P2, 5,  Q-2, -3  &  R1, 6. The…

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 axis of symmetry and vertex for the parabola y = 5? + 30x – 1.

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Q: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

A: We need to use a graphing utility to graph the following exercise Given quadratic equation…

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 coordinates of the turning point of the parabola whose equation is y = x – 6x + 8 are A (3,35) ©…

A: Given,  Equation of parabola: y= x2 - 6x + 8 We need to determine the coordinate of turning point…

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.