Find the location of the center, vertices, and foci for the hyperbola described by the equation. (y-1)2 (x-2)2 = 1 9 100 Center: (2, 1); Vertices: (2, -2) and (2, 4); Foci: (2, 1 - 109) and (2, 1+ √109) Center: (-2, -1); Vertices: (-2, -4) and (-2, 2); Foci: (-2, -1 -109) and (-2, -1 + √√√109) O Center: (2, 1); Vertices: (2, -1) and (3, 5); Foci: (2,2 - 109) and (3,2 + √109) Center: (2, 1); Vertices: (2, 1-109) and (2, 1+ √109); Foci: (2,-2) and (2, 4)

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: Q4) Find the y-intercept, x-intercept(s) and the vertex point for the parabola y = x2 + 6x + 5 then…

A: Given: Parabola: y=x2+6x+5 To Find:  The y-intercept, x-intercepts and the vertex point for the…

Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

A:

Q: Identify the quadratic surface of the equation 6x? + 3y? + 222 + 24x – 6y – 12z + 39 = 0 Choose an…

A: Given, 6x ^ 2 + 3y ^ 2 + 2z ^ 2 + 24x - 6y - 12z + 39 = 0

Q: Identify the quadric with the given equation and give its equation in standard form   16x2 + 100y2 +…

A:

Q: Vertex: (6, -2) Co- Vertex: (0, -1) Center: (0, -2)   What are all the vertices and foci? What…

A: Let the given data is for ellipse, Vertex is given (6, -2) and center is (0, -2). Let other vertex…

Q: Give the focus, directrix, and axis for the parabola. y2 = -32x A) (8, 0), x = -8, x-axis B (-8, 0),…

A:

Q: equation in standard form: (x²+(-²²-²² = center: : (30) √33 radius: 5. Consider a line segment with…

A:

Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…

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.