A hyperbola centered at (7, 0) has a focus at (7, 5) and vertex at (7, 4). Which is the equation of the hyperbola in standard form? 0 (x-7²-1²-1 16 9 0 (x-7)²-12-1 25 16 02 (x-72-1 16 012 (x-7²-1 25 16

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

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Q: x* + 2y? - 2x + 8y - 11 = 0 (illpse) x2 = 1 (llyperholu) 36 64

A: Equation of ellipse given is- x2+2y2-2x+8y-11=0 Standard form of this equation can be written as-…

Q: What is the equation of a parabola in vertex form with vertex (-5, -9) and directrix y = -13?

A: The parabola has vertex -5,-9 and directrix y=-13

Q: 4x2+y2-16y+8y+16=0 Identify the conic section by rewriting it in standard graphing form.

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Q: Write the standard equation for the hyperbola graphed above

A: Given that the following graph is              .To find the equation of hyperbola from the given…

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: (6, 2). The vertex of a parabola is and the equation of its directrix is y = 4. What is the equation…

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Q: Find the equation for the hyperbola whose graph is shown. -2 y 15 10 -10 -15 y=4x 2 y=-4x

A: Consider the graph

Q: The hyperbola with the given equation is centered at? * 16y² -9x² +36x + 96y - 36 = 0

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Q: One 49 is 36 1 ♦ of the hyperbola

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Q: A hyperbola has aymptotes y=+-3x/2 and vertices at (0,+-6). Find an equation of this hyperbola.

A: A hyperbola has aymptotes y=±3x2 and vertices at 0,±6

Q: Which of the following is an endpoint of the latus rectum of the parabola with vertex (4,-2) and…

A: Topic= Parabola

Q: Find the equation , in standard form, of the parabola with the specified features.   Find the…

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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: Find the equation of the following parabola. Express your answer in standard form. 20 -15 -10 -5 15…

A: The standard equation of the parabola is written in the form ofy=ax2+bx+c

Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

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Q: 9. Find the equation of the hyperbola, in standard form, with vertex (2,-5), focus (-1,-5) and…

A: The vertex is (2, -5), focus is (-1 -5) and the center is (5, -5). Observe that the y coordinate of…

Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

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: C) (y+2)2=.24(y+2x) D) (x-2)²=-24(y+4) E) (x+2)²=-24(y+2)

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Q: Find the equation of a hyperbola with vertices at (-2,5) and (6,5) and focus at (8,5)

A: Given, vertices=(-2,5)&(6,5) , focus=(8,5)

Q: what is the standard form of this conic section? 9x^2-4y^2-36x+8y-4=0    a. (x-2)^2 /2- (y-1)^2/9 =1…

A: Given equation is 9x2-4y2-36x+8y-4=0. To find the standard form of the given conic section.…

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

A: Given    standard form of Hyperbola

Q: What is the equation of the hyperbola below in standard form if one of the endpoints of the…

A: Given the one endpoint of the conjugate axis is (-2,9). And here (-2,5) is the center of the…