Find the dimensions of the reclanyie uf iurg lying on the parabola. y = 6- x2 width units height units

Q: A cable for a suspension bridge has the shape of a parabola with equation      y = kx2 . Let h…

A: (w,h) is a point on the parabola So, x=w and y=h will satisfy the equation

Q: Find the following points of intersection. The point(s) of intersection of the parabolas y = x2 and…

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Q: 16. The standard form of the parabola is (y – 5)² = 12(x + 3). Solve the following. a. Vertex b.…

A: a) vertex If the equation of parabola is (y-h)2=4p(x-k) the vertex is (k,h) for the given equation,…

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

A: To find an equation of the parabola whose graph is shown.

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

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Q: Find the equation of the axis of symmetry of the following parabola algebraically. y = a² – 6

A: This question is related to conic section .

Q: Find the vertex, force, and directrix of the parabola x^2=7y

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Q: A parabola has an equation of x2 = 6y + 10. Determine the equation of a diameter of the parabola…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the axis of symmetry of the parabola x2+ 24 y-4x 68 Select one: O x= 2 Oy= 6 O None Oy= -2 Ox=…

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Q: Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and…

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Q: Which equation refers to a hyperbola with the center at the orig x² y² a² = 1 b2

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

A: From the given diagram: Square ABOC: AB=BO=OC=AC The area of the square ABOC has 16. That is,…

Q: enclosed betw parabola y = x2

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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: Select the correct answer. Which hyperbola's asymptote rectangle has the greatest perimeter? O A. (-…

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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: (b) Find the evolute of the parabola y? = 4ax.

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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: Find the vertices and foci of the hyperbola below. (x + 1)² (y – 1)? 1 - 25 11

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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: (a) Find the evolute of the hyperbola x2 _y? y? =D1 a? b2

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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: III. Transform the equation of the parabola to the standard vertex for: completing the square. 16.…

A: Since we are given with multiple number of question and our guideline is solve first question only…

Q: 1) y = ax2 ;What values of a will make the parabola open down? %3D

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Q: 16. Which equation represents the given parabola?

A: We want to find the equation of given parabola.

Q: III. Transform the equation of the parabola to the standard vertex form by completing the square.…

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Q: C. Find the length of a, b, and c of the following hyperbolas. 1. y?-x2 = 1

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Q: (a) Find an equation of the parabola. (b) Find the diameter of the opening |CDI, 19 cm from the…

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Q: The vertex of the parabola is (1, 0), and the directrix is x = -0.5. Which form does the equation of…

A: From the given information the directrix is at x=-0.5. So it is a horizontal parabola The vertex…

Q: =r such that the point (2, 1) is on the segment AB and the midpoint of Determine the coordinates of…

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Q: Consider the hyperbola of equation: (y – k)2 (x - h)2 1 a? 62 whose foci are (3, -1) and (3, 17),…

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Q: 2. CE Board Nov. 2004 A parabola has an equation of y2 + 4y – 4x - 8 = 0. Locate the vertex of the…

A: Given: Equation of the parabola:y2+4y-4x-8=0 To Find: the vertex of the parabola Concept: if…

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

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Q: Find the vertex and directrix of the following parabola. x 2 + 24y – 24 = 0

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Q: Find the vertex, focus, and directrix of the parabola. y? – 4y – 2x - 4 = 0

A: The given parabola is  y2 - 4y - 2x - 4 = 0

Q: Determine the standard equation (s) of a parabola where its vertex lies in the center of the circle…

A: Here we have to determine the standard equation of a parabola where its vertex lies in the center of…

Q: Find all the values of b such that the parabola y=(1)/(8)x^(2)-bx+(9)/(2) will have a directrix…

A: the given equation of the parabola is y=18x2-bx+92. we have to find all the values of b so that the…

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: Select the correct answer. Which hyperbola has both foci lying in the same quadrant? O A. (- 24)2 (y…

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Q: Use the graph shown to answer:The equation of the parabola is of the form a. y2 = 4px b. x2 =…

A: We need to tell the given graph is the graph of which of the following function  a. y2 = 4pxb. x2 =…

Q: Consider the parabola y = 4 – 22. Find the coordinates of the point P on the parabola in the first…

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Q: Find a or k so that the points (-5,-8) and (1,-25) lie on the parabola y=a(x+3)²+k

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Q: Find the vertices and foci of the ellipse: 6. (x-1) (y+3)? = 1. Round to nearest tenth if…

A: Given- x-129+y+3236=1 To Find- The vertices and focii of the ellipse.

Q: Find the vertex, focus, and directrix for each parabola below. Find the x and y intercepts of each…

A: Here, we need to find the Vertex, focus, and directrix for each parabola below. For (a), The vertex…

Q: Find all values of b such that the parabola y = x² – bx + will have a directrix having an equation…

A: y=18x2-bx+92 On simplification, we get…

Q: Find the vertex, focus, and directrix for the parabola (x−1)2=−8(y−3)

A: Vertex form of parabola :  y = a( x - h)2 + k

Q: (H) Find the oquacion of anPalabolas vertex, focus and direodrix for The fllowing equefions!- I (+3)…

A: Solution:Given1.   (y+3)2=4x           2.  6y=x2+6x+15To find eqn of parabola vertex, focus and…

Q: Find the vertex Focus and divertrix to given the parabola x2 +6x+8y+25-0

A: The given equation is: x2+6x+8y+25=0 That can be written as…

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.