Find the center and foci of the hyperbola. (v+ 7)? (x- 6)? 16 20 center: (6,–7), foci: (0,–7), (12,–7) center: (6, 7), foоcі: (6,-13), (6,-1) center: (7,–6), foci: (7,–12), (7,0) center: (-7,6), foci: (–13,6), (–1,6) center: (-6,7), foci: (-6,1), (–6,13)

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: 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: Determine if the equation below describes an ellipse and, if so, give its correct center, foci, and…

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Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: Determine the focus of the parabola (x - 2)² = 4(y - 3). %3D O (-1,-3) O (2,4) O (-2,-2) O (2,3)

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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: A circle has the equation (x + 5)2 + (y- 2)2 = 9. What is the center of the circle? %3D

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Q: Complete the square to write the following equation in the standard form for a sphere. x²+y²…

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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: 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: Q2: A particle move on the path has parabola shape with equationf (x) = a + bx + cx²; Find the…

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Q: Determine the vertices of the hyperbola. (y - 3)2 - (x + 5)2 = 1 4 9 (х, у) %3D (smaller y-value)…

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Q: The center of the circle (x+3)2+(y-2)2=13 is(3,-2)

A: The given circle equation is (x+3)2+(y-2)2=13

Q: What is the equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…

A: Finding the vertices

Q: Find the center and the radius. (x - 2)^2 + (y - 5)^2 = 100

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Q: What is the vertex of the parabola represented by y = -2(x – 6)² + 5? O (5, 6) O (-6, 5) (6, 5) O…

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Q: What is the equation of circle in standard form? x²+4x+y²-6y=23 O A. (x-2)2+(y+3)²=6 O c…

A: A circle is the locus of points in two-dimensional space which are equidistant from a fixed point.…

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: state the center, vertices, foci, and minor endpoints 5. 25x2 + 16y² – 192y - 250x- 399 0 %3D

A: Consider the given equation, 25x2+16y2-192y-250x-399=0 make the perfect square as follows,…

Q: Find the vertex, focus, and directrix of the parabola x2+ 32 y-14 x - 175 Select one: O Vertex=…

A: Given:  Parabola: x2+32y-14x=175To find :  Vertex,  Focus…

Q: Evaluate ff (6x² +407) JA, where D is (0,3), (191) and (5₂3) the triangle with vertices

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Q: Which equation represents a circle with a diameter of 10 units that is centered at (3,- 7)? A…

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Q: Determine the equation of the ellipse with foci (1, 4) and (-5, 4), and co-vertices (-2,8) and…

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Q: A parabola has equation (x- 4)2 = 8(y + 3) - Determine the coordinates c its focus

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