Determine the equations of the asymptotes for the hyperbola: +5²_ (x + 2)² =1 9 =-=-*- , y = x = -2; y = -5 O x = -5; y = -2 ----- y = 19

Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

Q: 8) and directrix y = 7? A B y = -(x - 5)² +8 - y=- 1 -(x + 5)² +8 y = -(x + 5)² - 8 D_y==(x + 5)² +8…

A: Given query is to find the equation of the parabola.

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: Find the focus and directrix of the parabola with the equation 6y^2+10x=0. Then choose the correct…

A: Given that, the equation of the parabola is 6y2+10x=0 6y2+10x=06y2=-10xy2=-10x6y2=-4512x Compare the…

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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Q: 9. The endpoints of the latus rectum of the parabola (y + 2)2 A. (-1,0) and (-1,–4) B. (1,0) and (1,…

A: A lotuc rectum of a parabola isbthe chord that passes through the focus,is perpendicular to the…

Q: The center of the geometric figure described by 16x^2-160x+36y+292=0 is at what point?

A: We have the given function as 16x2-160x+36y+292=0 On solving further by using completing the square…

Q: Which of the following could be an equation for the hyperbola shown? O (y-5)? (x+4)² a? =1 O (x+4)?_…

A: Given-  To find- Which of the above following is the equation of hyperbola.

Q: state the center, vertices, equations of asymptotes, and the foci of the following equation x^2/9 -…

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Q: write in standard form of equation vertex hyperbola with (− 1, 2) center and  focus (− 3 (,−2)3, +…

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Q: Let there be two parabolas y^2 = 4ax and y^2 = -4bx (where a not equal to  b and a, b > 0). Then…

A: Let us consider that the line parallel to the common axis be y=h.then the co ordinates of A and B…

Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

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Q: Write the equation of the hyperbola 9z²- form Where: h = 4 k= 1 a-9 b= -72 (z-h)² a² S q X X X…

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Q: Write the equation of the hyperbola 25x^2-9y^2-150x-36y-36=0 in standard form.

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Q: the value of a in y=ax^2+bx+c and the vertex of the parabola are given. how many x-intercepts does…

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Q: Determine the coordinates of the vertex and the axis of symmetry of the parabola defined by the…

A: The objective of this question is to find the vertex and the axis of symmetry of the parabola…

Q: What is the radius and center of the equation x^2-6x+y^2+8y-39=0

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Q: =2x2 _4x-16 y=2x'

A: We have given function y=2x2-4x-16 y=2(x2-2x)-16 y=2(x2-2x+1-1)-16 y=2(x2-2x+1)-2-16 y=2x-12-18…