Match the equations of the spheres with one of the graphs below. -2 -3 2 X A D 1 y 1. x² − 2x + y² + 2y+z² - 2z = −2 - 2. x² + y² + (z+ 1)² = ²/ 3. (x − 1)² + (y − 1)² + z² = 1 - 4. x² - 4x + y² - 4y + z² - 2z = -35 2 B E -16 -2 с F gift X

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: 3. Find the coordinates of the foci of the ellipse given by the equation 4x² + y? = 64. O (0, 4v3)…

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Q: . Use the method of completing the square to write the following equation in standard form and…

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Q: Find the equation of the conic in the rotated system that eliminates the cross-product term and find…

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Q: section

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Q: vertex of parabola : (-2,1)= (h,k) x=a(y-k)²+h ✓ (-1.5, -2.3) (j,4.2)

A: Given Vertex of parabola h, k=-2, 1 Equation of parabola x=ay-k2+h Points of intersection of line…

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

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Q: Match each equation to the conic section it creates. (x+5)² 25 a. + (y-2)² 4 b. 3x³ + 4y = 25 d. = 1…

A: a. The standard equation of a ellipse is (x+x0)2a2+(y+y0)2b2=1.So (x+5)225+(y-2)24=1  is equation of…

Q: Graph the conic section 2x² - 12x - y² + 6y+26=0 by completing the square.

A: The given equation is .The aim is to sketch the graph of the conic section.

Q: Q.1/ a- Find the radius and center of the equation 9x2 + 9y² - 6x - 107 = 36y %3D

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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: Reduce each of the quadratic equations to its standard form and determine the name that classifies…

A: The quadratic equation is :The aim is to reduce the quadratic equation to its standard form…

Q: Reduce each of the quadratic equations to its standard form and determine the name that classifies…

A: We have to reduce the quadratic surface and determine the type of surface.

Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

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: 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: Name the conic section. Do not graph

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

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: In a three-dimensional coordinate system (R3), the equation x2 + z²=9 represents a

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Q: The vertices of the ellipse given by = 1 are (2, 1) and (1, 2) (0, 1) and (0, – 1) - O A. В. (-2, 0)…

A: Given:- x2/4+y2/1 = 1 To find:- Vertices of given equation of ellipse

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 sphere if (3, 4, 7) and ( - 5, 6, – 3) are the end points of a diamter of…

A: (3,4,7) and (-5,6,-3) are the end points of the diameter of a sphere.

Q: What is the center of th O (-1, 2) O (2, –1) O (-2, 1) O (1, -2)

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Q: x +y +333x+444y+777 =0 3x² +2y² +12x-4y+2 = 0 9. 10.

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Q: Find the equation of sphere that passes through the point (-2, -8, -2) and centered at (8, 7, 8).…

A: To find the equation of the sphere that passes through the point -2, -8, -2 and centered at 8, 7, 8.

Q: Find the equation of the parabola, y = ax2+bx+c, that passes through the points (−1, 6), (1, 4),…

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Q: Write the equation of a circle with center (15. 12) and radius 3V6. x+ 15) • (y • 12 = 54 x - 15 +…

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Q: What is the second coordinate of the center of the sphere of the equation below?…

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