Given the following general equations, which one represents a hyperbola? O 2x2 + 4x – y² + 4y – 4 = 0 | O x2 – 4x + 4y² – 8y + 4 = 0 - | O x² + 9y² + 6x – 18y + 9 = 0 O 9x? + 4y² – 18x + 16y – 11 = 0

Q: Write the equation of the hyperbola 25x? – 9y? + 100x + 72y – 269 = 0 in standard form (z – h)? (y –…

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Q: Find the equation of a sphere if one of its diameters has endpoints: (-10, -12, -13) and (4, 2, 1).…

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Q: Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

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Q: Write the equation of the hyperbola 4x2 – 25y? + 8x + 250y – 721 = 0 in standard form (x – h)? (y –…

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

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Q: Identify each equation as a circle, parabola, ellipse, or hyperbola. a) Зx2 + 4y2— 6х — 24у — 18 — 0…

A: Given : 1.

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: 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: Write the equation of the hyperbola 16x² - 9y² +96x - 72y - 144 = 0 in standard form Where: h = k= a…

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Q: (금)-(부)' h k Write the equation of the hyperbola in standard form 1 2-

A: Find your answer below

Q: in general form x² – 2x – 6y – 5 = 0? 5 A B y- -

A: The given equation of the parabola is: x2-2x-6y-5=0⇒6y=x2-2x-5⇒6y=(x2-2x+1)-6⇒6y=(x+1)2-6…

Q: Determine the vertices of the hyperbola 9x2-16y2-18x-96y+9=0.

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Q: (y+1)? (x-2)2 2.Find the standard equation of the hyperbola whose standard equation is 9. %3D 16

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Q: Show, by completing the square, that the parabolay = ax2 + bx +c can be obtained from y = ax 2 by a…

A: The given equation of parabola is y=ax2+bx+c. Rewrite the above equation as follows.…

Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

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: 0 = 3x2 – 6x+4y² – 16y+18 is an ellipse. True False

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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 equation of the hyperbola with a vertex at (4,3), a focus at (6,3) and the center at (2,3).

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Q: Determine if 36x + 25y = 900x is a hyperbola and if it is, which type it is.

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Q: What is the equation of the parabola in general form given its vertex at (-1,-5) and focus at…

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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: Graph the hyperbola (y+3)2/16-(x+6)2/4=1

A: The given equation is (y+3)2/16-(x+6)2/4=1.

Q: Find the values of integers,, and c that will make the hyperbola -9x² + 4y² + ax +by+c= 0 pass…

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Q: 11x2-7y2-66x-28y-6=0 standard form of hyperbola

A: Given    standard form of Hyperbola