(H) Find the oquacion of anPalabolas vertex, focus and direodrix for The fllowing equefions!- I (+3) = 4x 2 6y = x+6x +15 %3D %3D

Q: Find the vertex, focus and directrix of the parabola given by y2 + 2y + 4x - 7 = 0.Then graph the…

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Q: Determine the asymptotes of the hyperbola. 49x² – 4y2 – 9 - 187

A: As given equation of the hyperbola is:                       49x2 - 4y2 - 9 = 187…

Q: 2. An engineer is working on making a diagram for the cooling tower he was going to con- struct in…

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Q: Determine whether the statement "If the asymptotes of the hyperbola               (x2/a2) − ( y2/…

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Q: Find an equation of a hyperbola satisfying the given conditions. Vertices at (1, - 5) and (1,3);…

A: The general equation of conic section is Ax2 + Bxy + Cy2 + Dx + Ey + F = 0. The standard form of the…

Q: Consider the parabola C: z-4 = -(x - 2)² on the rz-plane. 1. Find the center-radius form of the…

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Q: 1. Given the parabola x2 – 2x – 24y + 1 = 0 , find the following: - - a. vertex b. focus c. equation…

A: Given parabola is x2-2x-24y+1=0 ⇒24y=(x2-2x+1)⇒24y-0=(x-1)2

Q: Parabolas with axis parallel with the y-axis and with distance from vertex to focus fixed as a. Ans.…

A: The given problem is to find the differential equation for the given parabolas with axis parallel…

Q: What is the vertex of the parabola (y - 1)2 = 16x?

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Q: a. If a chord of the parabola y² = 4ax a normal at one of its ends, show that its mid- %3D y?, 8a3…

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Q: The family of parabolas with vertex and focus on the y-axis. A B C D y'- xy'' = 0 xy'-y "=0 xy"'-…

A: The general equation of the parabola with the vertex and focus on the y axis can be defined as:…

Q: The vertex of a parabola is (6, 2), and the equation of its directrix is y= 0. What is the equation…

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Q: 1. Find the general equation of the parabola with vertex at (-2,3) and focus at (-2,–2). 2. Graph…

A: 1. The given vertex at -2,3 and focus at -2,-2. Find the general equation of the parabola. 2. The…

Q: Find the vertex,focus,and directrix of the parabola given by y2 + 2y + 4x - 7 = 0.Then graph the…

A: Given:             y2+2y+4x-7=0 Parabola standard equation 4px-h=y-k2 is the standard equation for a…

Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer…

A: I am going to solve the given problem by comparing it with the standard form of hyperbola and get…

Q: 6. Find the focus and directrix of the parabola x = -12y, and sketch its graph.

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Q: the coordinates of vertex, focus, and ends of latus rectum of the parabola  Y2−8Y+6X+16=0

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Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex…

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Q: The asymptotes for the hyperbola y -8y-16x² – 32x- 16=0 are y= ± 4(x+1)+4. True O False

A: Given,  y2 - 8y -16x2 -32x -16 = 0 .

Q: Question1. Find the vertex of the parabola, y = f(x) = -3x2 + 6x + 3. %3D Inntationa for

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Q: H Find theoquadhinofanPalabola's vertex, focus and diredrix for The fllowing eguefions!- I (9+3) = 4…

A: 1. Given y+32=4x  .........1 If a standard parabola equation y-k2=4px-h, where the vertex is h, k,…

Q: + 32x 4y2 + 16y + 64 = 0 ) Find the center, vertices, foci, and asymptotes of the hyperbola. (Enter…

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Q: Find the vertex, focus, and directrix of the parabola x2 + 4x + 4y − 4 = 0, and sketch its graph.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: the parabola x^2-4x-4y=0

A: we have to find the vertex , focus and directrix of the given parabola. x2-4x-4y=0

Q: Find the vertex,focus,and directrix of the parabola given by y2 + 2y + 12x - 23 = 0.Then graph the…

A: y2+2y+12x-23=0⇒y2+2y=-12x+23⇒y2+2y+1=-12x+23+1⇒y+12=-12x+24⇒y--12=-12x-2 Now comparing with…

Q: What can we conclude about a hyperbola if its asymptotes intersect at the origin? O The transverse…

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Q: Find the acute angle between the asymptotes of the hyperbola 2x2 –y2 +4x -6y -15 = 0.

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Q: The area bounded by the parabola y2 = 4ax, its axis, and its latus rectum revolves  about the x-

A: The given equation of parabola is y2=4ax. The objective is to calculate the area bounded by the…

Q: Can you assist me in answering this? (Not graded - solely for acquisitional purposes)

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Q: Find the center, foci, and vertices of the hyperbola, and sketch its graph using asymptotes as an…

A: Find the center, foci, and vertices of the hyperbola, and sketch its graph using asymptotes as an…

Q: 4. Label the focus, directrix, and vertex on the graphs given for the parabolas in Exercises 2 and…

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Q: The parabola 8x2 + 5y= 0, opens a. upward b. downward c. to the right d. to the left The parabola y2…

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Q: The asymptote of the hyperbola given by -=1 has the equation x2_ y? 4 2x – 3y = 0 3x – 2y = 0 Option…

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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: 16. For the parabola having the given equation x2 + 8y + 8x 0, find the vertex, focus, directrix,…

A: Given equation of parabola is x2+8y+8x=0. This equation can be rewritten as the form of y=ax2+bx+c.…

Q: Find the vertices and asymptotes for the hyperbola defined by the following equatión: (x2/ 16 ) - (…

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Q: . Consider the parabola C: z-4 = -(x - 2)² on the xz-plane. 1. Find the center-radius form of the…

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Q: For hyperbola represented by 16x? – 3y?- 32x + 12y- 44 0, which | of the following is false. O…

A: For the solution follow the next step.

Q: A parabola has the following properties: axis vertical, passes through (-1,0), (5,0) and (1,8). Find…

A: Topic = Parabola

Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer…

A: According to our terms and condition i have solved starting 3 parts for remaining part please repost…

Q: What is the standard form of the equation of the parabola with the focus (6, –1) and the directrix I…

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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 the vertex, focus, and directrix of the parabola y2 + 6y + 8x + 25 = 0, and sketch its graph.

A: Parabola:         y2+6y+8x+25=0=>y2+2.3y+9+8x+16=0=>(y+3)2=-8x-16=>-(y+3)28=x+2

Q: 3) Find the and directix f vertex, 7ocus. parabola y-x²+4x=8) the

A: The solution of the problem is given in the next step.

Q: Find the general form and graph of the vertex of a parabola is at (-2, 0 with a latus rectum, that…

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Q: B. Sketch the parabola with the given equation, showing its vertex, focus, directrix, axis, and…

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Q: 1. The r-coordinates of the vertex and the focus of a parabola are the same, but the y- coordinate…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: The family of parabolas symmetric with respect to the r-axis and vertex at the origin.

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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…