How long is the latus rectum of the parabola y? + 3x – 12 = 0? O 12 O 6 4 O 3

Q: 14. Which equation represents the given parabola? O y = -4(x – 4)² + 5 O y = }(x – 4)² + 5 O y =…

A: First option is correct.

Q: The parabola 8x² + 5y = 0, opens upward. downward. to the right. to the left.

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Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

A: If the axis of parabola is y = 1, then the parabola is horizontal. As we know that the standard…

Q: Compute the length of the latus rectum of the parabola y2 + 8x – 6y + 25 = 0.

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Q: Find the point P on the parabola y = x closest to the point (57, 0). (х, у) y y = x? P 57

A: Given parabola y=x2 The distance between two points is found by d=x2-x12+y2-y12 let a,a2 be the…

Q: nd an equation of a sphere if one of its diameters has endpoints (54.

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Q: O. Determine the vertex of the parabola y = x? – 14 + 40 by completing the square.

A: The parabola is  y = x2 -14x + 40

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: Find the area of the region bounded by the semicircle with equation y = V4 – (x + 2)² + 1 and the…

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Q: Which way does the parabola open? (x+ 3 =4 y + 5). h drwn e laft d ninht aun

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Q: given the equation of parabola y^2 -8x -4y -20=0,find the length of latus rectum

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Q: Q13:- Given a parabola y? P1 tangent to the parabola. Find the area of the triangle A0AB = 4px, and…

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Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x…

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Q: many pounds each of French and Viennese blend can she make so as to have no waste? *5. Find the…

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Q: 19. Find the total area between the parabola y = x2 - 4x, the x-axis, and the ordinates x = -2 and x…

A: We can use integration to calculate the area

Q: What is the length of the latus rectum of a parabola having its vertex at the origin and focus at…

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Q: Find the area of the s and the parabola

A: Given curves are: x2+y2=2xy2=x Then the points of intersection of the above curves are obtained…

Q: What is the directrix of the parabola? (x – 4)? = 8 (y + 3) O x = -3 O y = -3 y = -5 x = -5

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Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

A: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

Q: 8: Which one of the following conics is a parabola? 22 + y + 5 = 4æ B 222 + y? = 4x +4 4r – 9y? +…

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Q: Find the point P on the parabola y = x² closest to the point (57, 0). (x, y) = y y = x? P 57

A: Given that, the function y = x2 To find the closest point P to the point (57,0) Let (x, x2) be the…

Q: enclosed betw parabola y = x2

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Q: 4 SKetch the parabola and label the foces , ventees and dineder 2. 4 -6y -2utl=0

A: To find- Vertex, focus and directrix of a given parabola.

Q: Find the vertex of this parabola. (Round your answer to two decimal places.) (t, y) = ( 15.44, 2.88…

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Q: . Find the point on the parabola y = x² closest to (6,3). newor: The noint is (24)

A: Given curve is y=x2

Q: Find the endpoints of the latus rectum of the parabola below. 1 Enter the endpoints as ordered pairs…

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Q: Find the endpoints of the latus rectum of the parabola below. 1 (v – 1)? 20 (x + 2) : Enter the…

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Q: Find the length of the latus rectum of the parabola with equation x² – 4x – 16y +116 = 0. latus…

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Q: Graph the parabola by finding the vertex, directrix, focus, and Latus Rectum. 4. y2-16y-12x +40 = 0…

A: we have to find the following

Q: Find the point P on the parabola y = x? closest to the point (57, 0). (x, V) = ( y y =x 57

A: Let x, x2 be the point on the parabola y=x2 closest to the point 57, 0. Now the distance between x,…

Q: Complete the square to find the center and radius: x^2+y^2+2x+4y-1=0

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Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Find the two values of c such that the area of the region enclosed by the parabolas y = x² – c² and…

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Q: Ind the elements of the parabola and draw them: 1 Focus (1 1) end on straight side at (4 1) and (-2

A: In this question,concept of parabola is applied. Parabola A parabola is a curve equation in which a…

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

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

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Q: Find the vertex, focus and endpoints of the latus rectum of the parabola  4y^2 - x + 2 y = 0

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Q: Find ? for which the line tangent to the parabola ? = 4? − ?^2 is horizontal

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Q: How long is the latus rectum of the parabola y? + 3x – 12 = 0? O 12 6. 3. 3/4

A: Converting the equation to standard form

Q: Vhich of these quadratics results in the skinniest parabola? O y = 4(x – 3)² +7 O y = -6(x+ 1)² O y…

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Q: Find the area of the largest rectangle that can be inscribed in the ellipse given by: x² + 4y? = 16

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Q: Evaluate y ds, where C is the parabola r (3t2, 3t), for 0 <t< 1. %3D

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Q: Find the area of the enclosed by the parabola y=x2-8x+15 and the x-axis .

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Q: How many derivations are required for the problem involving parabolas with axis parallel to the…

A: Since you have asked multiple questions, we will solve first one for you. If you want other question…

Q: Find the coordinates of the vertex for the parabola. Round your answer to 2 decimal places. Include…

A: Given query is to find the vertex for the parabolo.

Q: The parabolic antenna has an equation of y^2 + 8x = 0. Determine the length of the latus rectum.

A: Here we use the standard form of parabola.

Q: The area of the region below the parabola y = 9- x² and above the x-axis is a. 12 b. 24 с. 36 d. 48…

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Q: Evaluate a ds, where C is the parabola i = (3t, 3t2), for – 1 <t < 1. Answer exactly or round to 2…

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Q: Find the vertex and length of the latus rectum for the parabola. y = (x - 2)2 - 9 Vertex: (x, y) = (…

A: Topic = Parabola