Which are the foci of the hyperbola represented by 5y² - 4x² - 80 = 0? O(-8,0) and (6.0) O (0,8) and (0,6) O (0,-5) and (0,5) O(-5,0) and (5,0)

Q: Find the equation of the hyperbola with vertices (-7,3) and (1, 3) and foci (-11, 3) and (5,3).…

A: Vertices   -7,3 and     (1,3)Foci                -11,3     and   5,3

Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

Q: 13. Which of the following is the equation of the graph shown? 2 Parabola Oy = - 3x? – 6x – 2 Oy = -…

A: The objective is to find the equation of the graph.

Q: 9. Find the vertex and focus of the parabola whose equation is 24x = -(y – 6)² + 192 O V(-8, –6),…

A:

Q: (x – 3)2 - 2)2 = 1 36 64 A) C: (3, 2); F: (2, -5), (2, 11); A: y = 16 y = - 16 X - 1 B C: (3, 2); F:…

A: We have to find the centre, foci and asymptotes for the given hyperbola.

Q: Find the location of the center, vertices, and foci for the hyperbola described by the equation.…

A: Properties of Hyperbolas Solution:

Q: 3. Find the vertices of the hyperbola. *-=1 3D1 25 64 O (0, 8), (0, – 8) - O (5, 0), (-5, 0) O (8,…

A: Hyperbola: A hyperbola is the set of all points  (x,y) in a plane such that the difference of the…

Q: 5 4 3 -NW 2 1 -6-5-4-3-2-1₁ 1 2 3 4 5 6 7 8 (6, 1) -2 3 -4 -5 6 ф м (2,-4) (2,-5)

A: Given Graph:-

Q: Identify the coordinates of the vertices and foei for each hyperbola. 25 o V:(-2 + 3,0); F: (-2+4,0)…

A: we have given a hyperbola.  We have to find it's vertices and foci

Q: Find the equation of the hyperbola with vertices at (-4,2) and (0,2) and foci at (-5,2) and (1,2).…

A:

Q: Find the equation of the hyperbola with vertices (- 3, 2), (5,2) and foci (- 4,2), (6,2) O (x- 2)2…

A:

Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

Q: Write the equation for a parabola that opens sideways, whose vertex is at (0, 2), and that passes…

A: We are required to: Write the equation of the parabola that open sideways whose vertex is at (0,2)…

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 standard form equation for a hyperbola with vertices at (3, 0) and (-3,0), that passes…

A: we have to find standard form of equation for a hyperbola with vertices (3, 0) and (-3, 0) and it…